Combinations (Leaving Cert Mathematics): Quizzes

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Combinations
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What key feature distinguishes combinations from other selection methods?

Order of selection does not matter

What is the formula for combinations?

C(n,r)=n!r!(n−r)!C(n, r) = \frac{n!}{r!(n-r)!}

In the combination formula, what does nn represent?

Total number of items

In the formula C(n,r)C(n, r), what does rr represent?

Number of items to select

What does the factorial symbol !! represent?

Product of all positive integers up to n

What is the value of 5!5!?

120120

How do combinations differ from permutations?

Order matters in permutations only

A club has 1010 members. How many ways can they choose a 33-member committee?

120120 ways

How many ways can a teacher select 55 students from 1515 for a project?

30033003 ways

When should you use combinations rather than permutations?

When order is irrelevant

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