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
How will i start solving it?
OA A
Carol is having friends over to watch home movies
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Take the task of creating the movie playlist and break it into stages.lheiannie07 wrote: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
Stage 1: Select the movie to watch FIRST
There are 6 movies to choose from, so we can complete stage 1 in 6 ways
Stage 2: Select the movie to watch SECOND
There are 5 remaining movies to choose from, so we can complete stage 2 in 5 ways
Stage 3: Select the movie to watch THIRD
There are 4 remaining movies to choose from, so we can complete stage 3 in 4 ways
By the Fundamental Counting Principle (FCP), we can complete all 3 stages (and thus create the movie playlist) in (6)(5)(4) ways (= 120 ways)
Answer: A
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Then you can try solving the following questions:
EASY
- https://www.beatthegmat.com/what-should- ... 67256.html
- https://www.beatthegmat.com/counting-pro ... 44302.html
- https://www.beatthegmat.com/picking-a-5- ... 73110.html
- https://www.beatthegmat.com/permutation- ... 57412.html
- https://www.beatthegmat.com/simple-one-t270061.html
MEDIUM
- https://www.beatthegmat.com/combinatoric ... 73194.html
- https://www.beatthegmat.com/arabian-hors ... 50703.html
- https://www.beatthegmat.com/sub-sets-pro ... 73337.html
- https://www.beatthegmat.com/combinatoric ... 73180.html
- https://www.beatthegmat.com/digits-numbers-t270127.html
- https://www.beatthegmat.com/doubt-on-sep ... 71047.html
- https://www.beatthegmat.com/combinatoric ... 67079.html
DIFFICULT
- https://www.beatthegmat.com/wonderful-p- ... 71001.html
- https://www.beatthegmat.com/permutation- ... 73915.html
- https://www.beatthegmat.com/permutation-t122873.html
- https://www.beatthegmat.com/no-two-ladie ... 75661.html
- https://www.beatthegmat.com/combinations-t123249.html
Cheers,
Brent