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How many ways can a student select five questions from an exam containing nine questions?

A. 9 ways
B. 21 ways
C. 126 ways
D. 252 ways

User Sekl
by
7.4k points

1 Answer

2 votes

Final answer:

The number of ways a student can select five questions from an exam containing nine questions is 126.

Step-by-step explanation:

The number of ways a student can select five questions from an exam containing nine questions is given by the combination formula:

C(n, r) = n! / (r!(n-r)!)

Substituting n = 9 and r = 5 into the formula:

C(9, 5) = 9! / (5!(9-5)!)

= 9! / (5!4!)

= (9 × 8 × 7 × 6 × 5!) / (5! × 4 × 3 × 2 × 1)

= (9 × 8 × 7 × 6) / (4 × 3 × 2 × 1)

= 126

Therefore, there are 126 ways a student can select five questions from a nine-question exam.

User Simen Russnes
by
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