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A four-person leadership committee is to be chosen from a [#permalink]
30 Dec 2017, 13:18

Expert's post

00:00

Question Stats:

94% (00:37) correct
5% (01:53) wrong based on 17 sessions

A four-person leadership committee is to be chosen from a student council that consists of seven juniors and five seniors. Q is the total number of different leadership committees that include three seniors and one junior.

Quantity A

Quantity B

Q

75

A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.

Re: A four-person leadership committee is to be chosen from a [#permalink]
07 Jan 2018, 18:24

Expert's post

Explanation

Start by finding out how many groups of three seniors can be chosen from the five seniors: \(\frac{5}{3} \times \frac{4}{2} \times \frac{3}{1}=10\).

Next, multiply that total by the number of individual juniors with which those groups can be paired (7) to form the full committee: 10 × 7 = 70. Quantity B is greater. _________________

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