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Permutation and Combination
in a circular table 6 men and 5 women are to be seated.find the number of ways of sitting arrangement such that no 2 women sit together?
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- Ans:-5!*6c5*5!
No. of ways men can seat on circular table is (6-1)!
No. of potions for women is 6, so they can be seated in 6c5 ways and arrenge by 5!. - 11 years agoHelpfull: Yes(40) No(7)
- we arrange 6 men around the circular table in (6-1)! ways.There 6 places in between them.Now we arrange 5 women in these 6 places in 6P5 ways.so,5!*6P5 is the answer.
- 11 years agoHelpfull: Yes(15) No(0)
- first 6 men to be arranged in (6-1)!=5! ways
next in the 6 gaps 5 women is to be arranged in 6c5 ways
therefore 5!*6=720 ways - 11 years agoHelpfull: Yes(5) No(2)
- 6 men +3 women + 1 bundle of 2 women = 10
(10-1)!*2!
answer =9!*2 - 11 years agoHelpfull: Yes(3) No(6)
- 5!(ways for men to be in circular arrangment) * 6P5(ways to arrange women in the gaps)
- 11 years agoHelpfull: Yes(2) No(1)
- 5!*(6C5 * 5!)
first arrange male then arrange females. - 11 years agoHelpfull: Yes(2) No(0)
- 5!*6C5*5!.
6 men can be arranged in 5! ways..the spaces left b/w them are 6, so we can make 5 women sit in 6C5*5! ways - 11 years agoHelpfull: Yes(2) No(0)
- 6 men can be arranged around a table in (6-1)!=5! ways.
Now, if we place each woman between the men then no two women will be together. There are 6 available slots between the men, thus 6C5=6 is the number of ways we can choose 5 slots out of 6 for the women.
Next, these 5 women can be arranged in 5! ways, hence the total number of ways is 5!*6*5!=86,400.
- 10 years agoHelpfull: Yes(2) No(0)
- 6 men are arranged in fac(5) ways 6c5
ans=fact(5)*6c5 - 11 years agoHelpfull: Yes(1) No(2)
- 6!*5! is gona ne d answer
- 11 years agoHelpfull: Yes(1) No(1)
- 6 men can be arranged around a table in (6-1)!=5! ways.
Now, if we place each woman between the men then no two women will be together. There are 6 available slots between the men, thus 6C5=6 is the number of ways we can choose 5 slots out of 6 for the women.
Next, these 5 women can be arranged in 5! ways, hence the total number of ways is 5!*6*5!=86,400.
Answer: C. - 10 years agoHelpfull: Yes(1) No(0)
- all-sitting together=not sitting together
(11-1)!-(7-1)!=6!*5039 - 11 years agoHelpfull: Yes(0) No(3)
- here women will only have 5 option as the the arrangement are done in circle.
it would be 6C5 if there would be linear arrangement. - 11 years agoHelpfull: Yes(0) No(1)
- in circular manner (n-1)! arrangements and left positions are 6.
so ans will be= 4!*6! - 11 years agoHelpfull: Yes(0) No(0)
- men arrangement in circular table is(6-1)! ways
5women arranged in 6 places as 6p5
ans:6p5*5! - 11 years agoHelpfull: Yes(0) No(0)
- 5!(54)4!9=1600
- 11 years agoHelpfull: Yes(0) No(0)
- How do i know which one is correct...!!!
- 11 years agoHelpfull: Yes(0) No(0)
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