Counting Methods, Permutations and Combinations (Edexcel A-Level Further Mathematics): Quizzes

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Counting Methods, Permutations and Combinations
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How many ways can the digits 1,2,3,4,51, 2, 3, 4, 5 be arranged in a line?

120120

How many arrangements of '11234' exist?

6060

When should you add vs multiply in counting?

Add different cases; multiply within

When is the permutation method used?

When order matters

When is the combination method used?

When order doesn't matter

What is the formula for nPr^nP_r?

n!(n−r)!\frac{n!}{(n-r)!}

What is the formula for nCr^nC_r?

n!r!(n−r)!\frac{n!}{r!(n-r)!}

How many 3-digit numbers from 1,2,3,4,51, 2, 3, 4, 5 (no repeat)?

6060

How many ways to choose 11 players from 20?

167,960167,960

How many odd numbers from '12345' (all used)?

7272

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