Quiz: Permutation & Combination Formulae

🧠 Quiz: Permutation & Combination Formulae

1. The formula for permutations of \(n\) objects taken \(r\) at a time is:

\(P(n,r) = \dfrac{n!}{(n-r)!}\) \(P(n,r) = \dfrac{n!}{r!(n-r)!}\) \(P(n,r) = n^r\) \(P(n,r) = r^n\)

2. The formula for combinations of \(n\) objects taken \(r\) at a time is:

\(C(n,r) = \dfrac{n!}{r!(n-r)!}\) \(C(n,r) = \dfrac{n!}{(n-r)!}\) \(C(n,r) = n^r\) \(C(n,r) = r^n\)

3. If \(n = 5\) and \(r = 2\), find \(P(n,r)\).

10 20 30 60

4. If \(n = 5\) and \(r = 2\), find \(C(n,r)\).

5 10 15 20

5. Which statement is true?

Permutations consider order, combinations do not Combinations consider order, permutations do not Both permutations and combinations ignore order Both permutations and combinations consider order