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Logical Reasoning
Seating Arrangement
How many types can arrange to seat 4 men & 4 woman on a circuler table alternate?
Read Solution (Total 8)
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- if we fix the men first no. of ways=3!*4!
So we can do this in two ways.
total ways=2*3!*4! - 13 years agoHelpfull: Yes(4) No(4)
- If we fix the position of one woman at any point on the round table, then the other 3 women can be arranged in 3! ways. (Also, the number of circular permutations of n symbols taken all at a time is (n - 1)!)
Once the women sit down, there are 4! ways to arrange the men in between the women.
Thus, possible seating arrangements = 3! 4! = 144 - 6 years agoHelpfull: Yes(3) No(0)
- First arrange the 4 men around circular table in alternate chairs in (4 - 1)! = 3! ways. Now four alternate chairs are vacant.
Each of the 4 women can now be seated in the vacant chairs in 4! ways.
Total number of ways = 4! X 3! = 144 ways. - 5 years agoHelpfull: Yes(1) No(0)
- a fixed man can be seated in 8 ways ,,,
if fixed other men can be seated in 3! ways,,
and 4 lady can be seated in 4! ways ..
total=8*3!*4!
- 9 years agoHelpfull: Yes(0) No(0)
- 3! * 4!
one man if fixed . therefore total arrangements= (n-1) ! = 3!
then women can be arranged in any of the 5 places(alternate) = 5! - 8 years agoHelpfull: Yes(0) No(0)
- there is no restriction given..so ans will be simply (8-1)! or 7!
- 8 years agoHelpfull: Yes(0) No(0)
- 1152
2x (4x4x3x3x2x2x1x1) - 8 years agoHelpfull: Yes(0) No(0)
- let us first fix male then we have (n-1)!in circular arrangement-----(4-1)!
since women in alternate arrangement -------4!
so we have 3!*4! - 5 years agoHelpfull: Yes(0) No(0)
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