Permutations and Combination

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BTGmoderatorRO: Moderator; Posts: 772; Joined: Wed Aug 30, 2017 6:29 pmFollowed by: 6 members

by BTGmoderatorRO » Wed Dec 13, 2017 5:29 pm

Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 12 different shirts, 10 different pairs of jeans, and 8 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?

A. 30
B. 90
C. 240
D. 480
E. 960

OA is E
I was hoping I could solve this directly on a calculator.But I need a more practical approach. What is the way out? Any expert pls?

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Source: Beat The GMAT — Problem Solving | Wed Dec 13, 2017 5:29 pm

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 amFollowed by: 34 members; Location: Grand Central / New York; Thanked: 470 times

by Jay@ManhattanReview » Wed Dec 13, 2017 8:36 pm

Roland2rule wrote:Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 12 different shirts, 10 different pairs of jeans, and 8 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?

A. 30
B. 90
C. 240
D. 480
E. 960

OA is E
I was hoping I could solve this directly on a calculator.But I need a more practical approach. What is the way out? Any expert pls?

The number of different outfits Jordan can have = 12C1*10C1*8C1 = 12*10*8 = 960 diffrent outfits

The correct answer: E

Hope this helps!

-Jay
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Scott@TargetTestPrep: GMAT Instructor; Posts: 8144; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Tue Sep 24, 2019 2:36 pm

BTGmoderatorRO wrote:Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 12 different shirts, 10 different pairs of jeans, and 8 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?

A. 30
B. 90
C. 240
D. 480
E. 960

OA is E
I was hoping I could solve this directly on a calculator.But I need a more practical approach. What is the way out? Any expert pls?

The number outfits is 12 x 10 x 8 = 960

Answer: E

Scott Woodbury-Stewart
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[email protected]

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