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17 Jan 2024, 02:30
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
85% (01:07) correct
15%
(01:08)
wrong
based on 186
sessions
History
Date
Time
Result
Not Attempted Yet
2 men and 3 women are lined up in a row. How many arrangements exist where men and women stand alternately in the line?
A. 12
B. 15
C. 18
D. 21
E. 24
A. 12
B. 15
C. 18
D. 21
E. 24
17 Jan 2024, 22:03
Kudos
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Bunuel
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17 Jan 2024, 22:35
Kudos
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The Ans is "A"
Only Possible way for 2 men & 3 women to stand in a line, alternately is:
Women, Men, Women, Men, Women
There are 3 possibilities for a woman to stand 1st
There are 2 possibilities for a man to stand 2nd
There are 2 possibilities for a woman to stand 3rd (as one of the 3 women stood 1st)
There is 1 possibility for a man to stand 4th (as one of the 2 men stood 2nd)
There is 1 possibility for a woman to stand 5th
Hence the No. of arrangements exist where men and women stand alternately in the line are
3*2*2*1*1=12
Only Possible way for 2 men & 3 women to stand in a line, alternately is:
Women, Men, Women, Men, Women
There are 3 possibilities for a woman to stand 1st
There are 2 possibilities for a man to stand 2nd
There are 2 possibilities for a woman to stand 3rd (as one of the 3 women stood 1st)
There is 1 possibility for a man to stand 4th (as one of the 2 men stood 2nd)
There is 1 possibility for a woman to stand 5th
Hence the No. of arrangements exist where men and women stand alternately in the line are
3*2*2*1*1=12
