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Bob’s wardrobe contains 5 shirts, 7 pairs of pants, and 4 ties. If he

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Bob’s wardrobe contains 5 shirts, 7 pairs of pants, and 4 ties. If he  [#permalink]

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New post 18 Jan 2019, 01:02
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

97% (00:33) correct 3% (01:27) wrong based on 32 sessions

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Bob’s wardrobe contains 5 shirts, 7 pairs of pants, and 4 ties. If he wants to select an outt that consists of 1 shirt, 1 pair of pants, and 1 tie, how many different outfits can he select?

A 16
B 20
C 28
D 35
E 140
Spoiler: OA

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Re: Bob’s wardrobe contains 5 shirts, 7 pairs of pants, and 4 ties. If he  [#permalink]

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New post 18 Jan 2019, 05:33
Bunuel wrote:
Bob’s wardrobe contains 5 shirts, 7 pairs of pants, and 4 ties. If he wants to select an outt that consists of 1 shirt, 1 pair of pants, and 1 tie, how many different outfits can he select?

A 16
B 20
C 28
D 35
E 140


To select r out of n objects, we use nCr = n! / [r!*(n-r)!]
5C1 * 7C1 * 4C1 = 5*7*4 = 140

Answer: Option E
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Re: Bob’s wardrobe contains 5 shirts, 7 pairs of pants, and 4 ties. If he  [#permalink]

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New post 18 Jan 2019, 07:26
Bunuel wrote:
Bob’s wardrobe contains 5 shirts, 7 pairs of pants, and 4 ties. If he wants to select an outt that consists of 1 shirt, 1 pair of pants, and 1 tie, how many different outfits can he select?

A 16
B 20
C 28
D 35
E 140


total combinations Bob can make
5c1*7c1*4c1 = 140
IMO E
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Re: Bob’s wardrobe contains 5 shirts, 7 pairs of pants, and 4 ties. If he   [#permalink] 18 Jan 2019, 07:26
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