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Q.
The number of ways in which 5 male and 2 female members of a committee can be seated around a round table so that the two female are not seated together is
A.
480
B.
600
C.
720
D.
840
E.
None of the above
View Answer
Correct choice: A
Explanation:
Fix up a male and the remaining 4 male can be seated in 4! ways. Now no two female are to sit together and as such the 2 female are to be arranged in five empty seats between two consecutive male and number of arrangement will be
5
P
2
. Hence by fundamental theorem the total number of ways is
= 4!
5
P
2
= 24 × 20 = 480 ways.
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