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21 Jun 2019, 00:16
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
71% (01:54) correct
29%
(02:12)
wrong
based on 279
sessions
History
Date
Time
Result
Not Attempted Yet
Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jackets for her business trip. If an outfit consists of one of each item of clothing except shirts, of which she will wear 2, how many different outfits can does Grace have available during her trip?
(A) 2,520
(B) 1,260
(C) 620
(D) 360
(E) 120
(A) 2,520
(B) 1,260
(C) 620
(D) 360
(E) 120
Updated on: 14 Aug 2025, 07:53
Originally posted by CareerGeek on 21 Jun 2019, 00:38.
Last edited by Bunuel on 14 Aug 2025, 07:53, edited 1 time in total.
Last edited by Bunuel on 14 Aug 2025, 07:53, edited 1 time in total.
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Bunuel
Total number of ways = Selecting 1 pair of shoes, 1 pair of pants, 2 shirts, and 1 jacket
= 5\(c_1\)*3\(c_1\)*8\(c_2\)*3\(c_1\)
= 5*3*28*3
= 1260
IMO Option B
General Discussion
21 Jun 2019, 00:24
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Bunuel
She has 5 options for shoes* 3 Options for pants*3 Options for Jackets*8C2 options for Shirts = 1260 IMO B
