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15 Jan 2022, 04:08
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
81% (01:27) correct
19%
(02:06)
wrong
based on 102
sessions
History
Date
Time
Result
Not Attempted Yet
4 Couples wish to stand in a row for a group photo. How many arrangements of the 8 people are possible if each person must stand next to his or her partner.
(A) 324
(B) 352
(C) 384
(D) 426
(E) 512
(A) 324
(B) 352
(C) 384
(D) 426
(E) 512
15 Jan 2022, 12:23
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4 couples ––> (AB), (CD), (EF), (GH)
4 couples can be arranged in 4! Ways.
Each couple can also be arranged in 2! Ways, eg (AB) can be (BA) as well.
Hence,
(AB) can be arranged in 2! Ways
(CD) ––> 2! Ways
(EF) ––> 2! Ways
(GH) ––> 2! Ways
Hence total ways ––> 4! * 2! * 2! * 2! * 2! = 384
Answer C
4 couples can be arranged in 4! Ways.
Each couple can also be arranged in 2! Ways, eg (AB) can be (BA) as well.
Hence,
(AB) can be arranged in 2! Ways
(CD) ––> 2! Ways
(EF) ––> 2! Ways
(GH) ––> 2! Ways
Hence total ways ––> 4! * 2! * 2! * 2! * 2! = 384
Answer C
20 Dec 2024, 11:20
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