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A certain school district has specified 5 different novels and 4 different non-fiction books from which teachers can cho

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A certain school district has specified 5 different novels and 4 different non-fiction books from which teachers can cho

by Gmat_mission » Thu Sep 10, 2020 12:35 am

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A certain school district has specified 5 different novels and 4 different non-fiction books from which teachers can choose to assemble a summer reading list. Each summer reading list must have exactly 3 novels and 2 non-fiction books. How many different summer reading lists are possible?

A) 54
B) 60
C) 72
D) 120
E) 240

Answer: B

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Re: A certain school district has specified 5 different novels and 4 different non-fiction books from which teachers can

by ravinikhil » Thu Sep 10, 2020 6:48 am
Quite easy.
it will be 5C3 * 4C2
hence
{5! / ( 3! * 2! ) } * { 4! / ( 2! * 2! )}
60 is ans
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Re: A certain school district has specified 5 different novels and 4 different non-fiction books from which teachers can

by Scott@TargetTestPrep » Tue Sep 15, 2020 4:53 am
Gmat_mission wrote: ↑
Thu Sep 10, 2020 12:35 am
 A certain school district has specified 5 different novels and 4 different non-fiction books from which teachers can choose to assemble a summer reading list. Each summer reading list must have exactly 3 novels and 2 non-fiction books. How many different summer reading lists are possible?

A) 54
B) 60
C) 72
D) 120
E) 240

Answer: B

Solution:

The number of ways to choose 3 novels from 5 is 5C3 = (5 x 4 x 3)/(3 x 2) = 10, and the number of ways to choose 2 non-fiction books from 4 is 4C2 = (4 x 3)/2 = 6. Therefore, the number of ways to choose 3 novels and 2 non-fiction books is 10 x 6 = 60.

Answer: B

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