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Abhijeet007
Sam has 8 trousers and 12 shirts. 2 particular trousers can never be worn with any one of 3 particular shirts, and 2 other particular trousers must be worn with any one of 4 other particular shirts. In how many ways can Sam match up a trouser with a shirt?

(A) 94
(B) 88
(C) 66
(D) 82
(E) 74

Source:- EduShastra Class Sheet.


For the 2 particular trousers that can never be worn with any one of 3 particular shirts, each has 9 shirts to pair with, so there are 2 x 9 = 18 pairings.

For the 2 other particular trousers that must be worn with any one of 4 other particular shirts, there are 2 x 4 = 8 pairings.

For the remaining 4 trousers, each has 12 shirts to pair with, so there are 4 x 12 = 48 pairings.

Therefore, the total is 18 + 8 + 48 = 74 pairings.

Answer: E
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Here's the video explanation


Smart Prep (Tutor)

Abhijeet007
Sam has 8 trousers and 12 shirts. 2 particular trousers can never be worn with any one of 3 particular shirts, and 2 other particular trousers must be worn with any one of 4 other particular shirts. In how many ways can Sam match up a trouser with a shirt?

(A) 94
(B) 88
(C) 66
(D) 82
(E) 74

Source:- EduShastra Class Sheet.
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