Different Strategies (Leaving Cert Mathematics): Quizzes

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Different Strategies
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11 questions from this quiz

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When is listing outcomes most useful as a counting strategy?

For small sample spaces

A menu has 33 appetisers and 44 main courses. How many combinations are there?

1212

What do factorials (n!)(n!) count?

Arrangements of nn distinct objects

How many ways can 44 books be arranged on a shelf?

2424

What is the key difference between permutations and combinations?

Order matters vs doesn't matter

What is the formula for permutations P(n,r)P(n, r)?

n!(n−r)!\frac{n!}{(n-r)!}

What is the formula for combinations C(n,r)C(n, r)?

n!r!(n−r)!\frac{n!}{r!(n-r)!}

When are Venn diagrams particularly useful?

For multiple overlapping groups

A wardrobe has 55 shirts, 33 trousers, and 22 shoes. How many outfits can you make?

3030

A club has 1010 members. How many ways can a 33-person committee be selected?

120120

Which strategy multiplies the number of choices at each step?

Fundamental Principle of Counting

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