United We TransformCreate teamsGrade your agenda
Exercises/Divergent Ideation/4 Markers for Your Odds
Ideation Warm-Up ยท Divergent Ideation

4 Markers for Your Odds

The facilitator drops colored markers one by one to demonstrate how rapidly permutations shrink when inputs are removed. Participants connect this drop to team diversity, groupthink, and idea generation.

10 minutesTIME
4 to 24 peopleGROUP SIZE
In person, Remote, HybridSETTING
2 materialsMATERIALS
Planning pillar: Participation Architecture UWT groups this divergent ideation activity under Participation Architecture in its Gathering Effectiveness planning framework.

Choose this exercise

Purpose: Demonstrate the mathematical decline in permutations when inputs or perspectives are removed from a group.

Use it when: Use before brainstorming, problem framing, or retrospective sessions when a team risks groupthink or premature consensus.

Skip it when: Skip when the group is already focused on converging, selecting, or executing a known single plan.

Group arrangement: Whole-room visual demonstration, paired or trio discussion, and brief plenary sharing.

Timing: Source suggests under 5 minutes; UWT expands to 10 minutes to allow partner discussion and debrief.

Materials and tools

Before participants arrive

  1. Place 4 distinctly colored markers on the table within easy reach of the facilitator.
  2. Ensure sightlines allow all participants to see the facilitator's hands clearly.

Say this to open

Look at these four markers: red, blue, green, and black. If we arrange four distinct roles or viewpoints, we have 24 unique permutations. What happens to our options if we lose just one?

How to run it

  1. Display and first drop 2 minutes

    Deliver the opening script while holding all four markers. Ask the room: 'What happens if we lose one?' Intentionally drop one marker onto the table. Explain the permutation impact: four distinct items yield 24 permutations (4 x 3 x 2 x 1). When one is removed, the remaining three items yield 6 permutations (3 x 2 x 1). Losing that single marker eliminates 18 permutations, an immediate 75 percent reduction in distinct arrangements.

  2. Second drop and team metaphor 2 minutes

    Ask: 'What happens when you take away one more?' Drop a second marker so only two remain. State the math: two items yield only 2 permutations (2 x 1), an additional sharp decline. Connect the physical markers to team dynamics: markers represent viewpoints, functions, or divergent approaches. When one dominant voice dictates or members withhold divergent views, the team operates with only one or two markers.

  3. Paired exchange 3 minutes

    Direct participants to turn to a neighbor and discuss: 'Where in our work do we unintentionally drop markers or settle for only one color?' In odd-numbered groups, form one group of three. Anyone who prefers not to talk may reflect or write notes privately.

  4. Plenary reflection 3 minutes

    Call the room back together. Ask one debrief question from the list. Hear brief observations from two or three volunteers, capping each share at 45 seconds. Transition immediately to the working agenda.

Debrief questions

Finished output: A shared verbal agreement on which perspectives or inputs will be preserved during the subsequent work block.

Remote

Hold four physical colored markers up to the camera or share a slide displaying four colored blocks. Sequentially delete or hide the shapes to demonstrate the drop in permutations. For the paired exchange, create two-person breakout rooms (plus one trio if numbers are odd) for 3 minutes.

Hybrid

Keep the facilitator on camera so remote participants clearly see the markers dropped. Form in-room pairs and put remote participants into remote breakout pairs. During plenary reflection, take one contribution from the physical room and one from the virtual attendees.

Access and participation choices

If the session gets stuck

A participant argues that going from 4 markers to 3 is merely a 25 percent loss.
Clarify that headcount drops by 25 percent, but combinatorial permutations drop from 24 to 6, which is exactly a 75 percent drop in distinct orderings.
The conversation turns into generic complaints about executive leadership.
Acknowledge the point and pivot back by asking what concrete behaviors this immediate group controls in today's session.

Terms used here

Live facilitator

Run this exercise live

The facilitator console stays in this browser. Its QR handoff is a short-lived participant snapshot containing only public exercise instructions, phase, prompt, and timer state.

Run this with your AI assistant +

Works with Claude, ChatGPT, Gemini, or your own local model: paste this prompt and your AI will co-facilitate this exercise with you.

Help me prepare and run the exercise below. First ask for my participant count, time, setting, access needs and intended result. Check these against the stated limits. Use the supplied rules and materials. Explain any proposed changes before using them, and label them as adaptations. Do not invent source claims or require personal disclosure. Give me one step at a time when I say start. I manage the people, physical activity and clock; do not claim to observe the room. Ask me what happened before choosing a next step.

Reference revision: bf163ab98ff636b85602819d9fdbad5ca0a0dc7b381027758f5dc3e649dc5682

# 4 Markers for Your Odds

The facilitator drops colored markers one by one to demonstrate how rapidly permutations shrink when inputs are removed. Participants connect this drop to team diversity, groupthink, and idea generation.

**Time:** 10 minutes. Source suggests under 5 minutes; UWT expands to 10 minutes to allow partner discussion and debrief.
**People:** 4 to 24. Whole-room visual demonstration, paired or trio discussion, and brief plenary sharing.

## Choose this exercise

**Purpose:** Demonstrate the mathematical decline in permutations when inputs or perspectives are removed from a group.
**Use it when:** Use before brainstorming, problem framing, or retrospective sessions when a team risks groupthink or premature consensus.
**Skip it when:** Skip when the group is already focused on converging, selecting, or executing a known single plan.

## Materials and tools

- 4 distinctly colored dry-erase markers (such as red, blue, green, and black) for the facilitator
- 1 flip chart and 1 marker to write out the permutation arithmetic (optional)

## Before participants arrive

1. Place 4 distinctly colored markers on the table within easy reach of the facilitator.
2. Ensure sightlines allow all participants to see the facilitator's hands clearly.

## Say this to open

Look at these four markers: red, blue, green, and black. If we arrange four distinct roles or viewpoints, we have 24 unique permutations. What happens to our options if we lose just one?

## How to run it

### 1. Display and first drop (2 minutes)

Deliver the opening script while holding all four markers. Ask the room: 'What happens if we lose one?' Intentionally drop one marker onto the table. Explain the permutation impact: four distinct items yield 24 permutations (4 x 3 x 2 x 1). When one is removed, the remaining three items yield 6 permutations (3 x 2 x 1). Losing that single marker eliminates 18 permutations, an immediate 75 percent reduction in distinct arrangements.

### 2. Second drop and team metaphor (2 minutes)

Ask: 'What happens when you take away one more?' Drop a second marker so only two remain. State the math: two items yield only 2 permutations (2 x 1), an additional sharp decline. Connect the physical markers to team dynamics: markers represent viewpoints, functions, or divergent approaches. When one dominant voice dictates or members withhold divergent views, the team operates with only one or two markers.

### 3. Paired exchange (3 minutes)

Direct participants to turn to a neighbor and discuss: 'Where in our work do we unintentionally drop markers or settle for only one color?' In odd-numbered groups, form one group of three. Anyone who prefers not to talk may reflect or write notes privately.

### 4. Plenary reflection (3 minutes)

Call the room back together. Ask one debrief question from the list. Hear brief observations from two or three volunteers, capping each share at 45 seconds. Transition immediately to the working agenda.


## Debrief questions

- Which perspectives, functions, or dissenting inputs are most easily dropped in our typical meetings?
- What visible cue can our group use when a discussion collapses into a single marker?
- How will we keep alternative options visible during our upcoming agenda block?

**Finished output:** A shared verbal agreement on which perspectives or inputs will be preserved during the subsequent work block.

## Remote

Hold four physical colored markers up to the camera or share a slide displaying four colored blocks. Sequentially delete or hide the shapes to demonstrate the drop in permutations. For the paired exchange, create two-person breakout rooms (plus one trio if numbers are odd) for 3 minutes.

## Hybrid

Keep the facilitator on camera so remote participants clearly see the markers dropped. Form in-room pairs and put remote participants into remote breakout pairs. During plenary reflection, take one contribution from the physical room and one from the virtual attendees.

## Access and participation choices

- Name each marker color aloud as it is held up and dropped to accommodate participants with color vision deficiencies or low-bandwidth video.
- Allow participants to reflect individually on scratch paper during paired time instead of speaking aloud.

## If the session gets stuck

**A participant argues that going from 4 markers to 3 is merely a 25 percent loss.**

Clarify that headcount drops by 25 percent, but combinatorial permutations drop from 24 to 6, which is exactly a 75 percent drop in distinct orderings.

**The conversation turns into generic complaints about executive leadership.**

Acknowledge the point and pivot back by asking what concrete behaviors this immediate group controls in today's session.


## Terms used here

- Permutation: An arrangement of a set of items where the sequence matters. Four distinct items yield 24 permutations (4 x 3 x 2 x 1).

## Sources and adaptation

Observed in Relationship Makers Handbook, pages 11-12.

Retains the physical marker drop and the permutation reduction calculation from Relationship Makers Handbook. UWT structured the activity into a 10-minute sequence, added peer conversation rules for groups up to 24 with odd-number support, resolved arithmetic terminology by consistently using permutations, and added concrete hybrid and access guidelines.

Current run sheet: https://unitedwetransform.com/exercises/4-markers-for-your-odds/

Sources and adaptation

Observed in Relationship Makers Handbook, pages 11-12.

Retains the physical marker drop and the permutation reduction calculation from Relationship Makers Handbook. UWT structured the activity into a 10-minute sequence, added peer conversation rules for groups up to 24 with odd-number support, resolved arithmetic terminology by consistently using permutations, and added concrete hybrid and access guidelines.

See our editorial policy for AI use, sourcing and corrections.

Pairs well with