Carol is having friends over to watch home movies. She has 6 reels of home movies, but she and her friends have time to

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M7MBA: Moderator; Posts: 2058; Joined: Sun Oct 29, 2017 4:24 amFollowed by: 5 members; Thanked: 1 times

by M7MBA » Thu Sep 17, 2020 1:46 am

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Carol is having friends over to watch home movies. She has 6 reels of home movies, but she and her friends have time to watch only 3 of them. Carol must decide which reels to watch and in what order. How many different orderings does Carol have from which to choose?

A. 120
B. 96
C. 60
D. 36
E. 20

Answer: A

Source: Princeton Review

Source: Beat The GMAT — Problem Solving | Thu Sep 17, 2020 1:46 am

swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

Re: Carol is having friends over to watch home movies. She has 6 reels of home movies, but she and her friends have time

by swerve » Thu Sep 17, 2020 5:03 am

M7MBA wrote: ↑
Thu Sep 17, 2020 1:46 am
Carol is having friends over to watch home movies. She has 6 reels of home movies, but she and her friends have time to watch only 3 of them. Carol must decide which reels to watch and in what order. How many different orderings does Carol have from which to choose?

A. 120
B. 96
C. 60
D. 36
E. 20

Answer: A

Source: Princeton Review

First reel can be chosen in $6$ ways.

Second reel has to be one out of remaining $5$, so it can be chosen in $5$ ways.

Third reel has to be one our of the remaining $4$ , so it can be chosen in $4$ ways.

So, the total ways $= 6 \cdot 5 \cdot 4 = 120$

Hence, the correct answer is A

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