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Logical Reasoning
Seating Arrangement
4 women and 6 men have to be seated in a row, given that no two women can sit together. How many different arrangements are there?
Read Solution (Total 9)
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- correct ans is 6!*7P4
i.e 60480
n i bet this is the correct ans
- 12 years agoHelpfull: Yes(21) No(5)
- in 6 palce of men their are 7 place in which 4 women are sit so they are no sit togather.
means
_M1_M2_M3_M4_M5_M6_
so 6 men sit in 6! ways and 7C4 ways sit women in which no 2 women sit togather.
so total is 6!*7C4. - 12 years agoHelpfull: Yes(20) No(11)
- yes the answer is 6!* 7P4....
6 members can be seated in 6! ways.and in the 7 places 4 womenn have to be seated.this not selection of women.it is arrangement.so we should not use "C".we should use "P".therfore ans is 6!* 7P4 - 12 years agoHelpfull: Yes(12) No(4)
- here we have 6 men and 4 women.
according to the question, first we sit 6 men there are 6 different ways to do this.
when men get seated we have 7 different places between men for women.
now we have to select 4 places from 7: 7C4
so the answer is:6*7C4 - 12 years agoHelpfull: Yes(7) No(13)
- 6!*7c4
first 6 men can be arranged in 6! ways
as no two women together
they can be arranged in 7c4 ways
- 12 years agoHelpfull: Yes(3) No(6)
- 6 MEN IN A row so there are 7 vacant where womens are placed
so 6 men can arrange 6! ways
and 4 women for 7 places can be arrange 7C4 ways
and also they (4) are arrange them self in 4! ways
so totall 6! * 7C4 * 4! ways they can arrange. - 10 years agoHelpfull: Yes(3) No(1)
When all women when sit together MMMMMMWWWW
No Of Ways: 7!*4!(6 MEN and all women as 1 Unit*No of ways of arranging Women)
Total Ways: 10!
Therefore No of ways when they dont sit together: 10!-7!*4!- 12 years agoHelpfull: Yes(1) No(11)
- answer is= 10!-7!4!
- 12 years agoHelpfull: Yes(0) No(5)
- Let us first sit all the 6 men in 6 positions in 6! ways. Now there are 7 gaps between them in which 4 women can sit in 7P47P4 ways. So total ways are 6! x 7P4
- 8 years agoHelpfull: Yes(0) No(0)
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