💬 Permutations & Combinations: Mixed Practice & Reasoning (S-CP.B.9)

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Use permutations and combinations to compute probabilities. Read each problem. Draw or write to solve. Label your answer.

1. How many ways can 3 runners finish 1st–3rd from 6? (6P3)

Work

Answer: ______________

2. How many ways can a committee of 3 be chosen from 10 people? (10C3)

Work

Answer: ______________

3. How many ways can 2 runners finish 1st–2nd from 8? (8P2)

Work

Answer: ______________

4. How many ways can a committee of 4 be chosen from 5 people? (5C4)

Work

Answer: ______________

5. How many ways can 3 runners finish 1st–3rd from 5? (5P3)

Work

Answer: ______________

6. How many ways can a committee of 4 be chosen from 10 people? (10C4)

Work

Answer: ______________

Answer key: 1) 120 · 2) 120 · 3) 56 · 4) 5 · 5) 60 · 6) 210

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Worksheets › Grade 12 Math (Precalculus & Statistics) › Permutations & Combinations › Permutations & Combinations

Grade 12 (ages 17–18)Numbers & mathsFree printable PDF

About this grade 12 worksheet

Free Grade 12 Precalculus & Statistics math worksheet (Common Core S-CP.B.9): permutations & combinations — mixed practice with space to reason and check, with answer key. Skill: Use permutations and combinations to compute probabilities. Level: Grade 12 — also suits Year 13 (UK).

For teachers: skills & standards

CCSS S-CP.B.9: Use permutations and combinations to compute probabilities
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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What age is it for?

It is designed for Grade 12 (ages 17–18), but use it with any child who is ready.

What skills does it build?

Use permutations and combinations to compute probabilities.

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More “Permutations & Combinations” printables (s-cp.b.9: use permutations and combinations to compute probabilities)

Permutations & Combinations: Practice A (S-CP.B.9) · Permutations & Combinations: Practice B (S-CP.B.9) · Permutations & Combinations: Show Your Thinking (S-CP.B.9) · Permutations & Combinations: Quick Check (S-CP.B.9)

All 5 permutations & combinations sheets → · Grade 12 Math (Precalculus & Statistics): all 10 skills → · All Common Core grades

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