Permutations and Combination

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

Permutations and Combination

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 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

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: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

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

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