7 peoples has to selected from 12 mens and 3 womens no no womens can come together in how many

1st we want to place women by leaving 1 place between them so we can arrange 3C3 ways.ie -W1-w2-w3-
then the remaining places is 4.(ie 7-3=4)and so the remaining persons is 4.
so we can select from 12mens in 12C4 ways.
then total ways=3C3*12C4=55ways
10 years agoHelpfull: Yes(10) No(5)
@DILPREET its wrong becoz if we take ur 2nd case.
ie case 2nd : m,m,m,m,m,m,w 12c6*12c1
here u represent 12c1 for women.but in the question there is only 3women then how u get 12.
so i think its wrong upto my knowledge
10 years agoHelpfull: Yes(3) No(0)
i will represent
man = m
woman = w
case 1st : m,m,m,m,m,m,m 12c7
case 2nd : m,m,m,m,m,m,w 12c6*12c1
case 3rd : m,m,m,m,w,m,w 12c5*12c2
case 4th : m,m,w,m,w,m,w 12c4*12c3

ans = 12c7 + 12c6*12c1 + 12c5*12c2 + 12c4*12c3

please tell me weather my concept is right or wrong
10 years agoHelpfull: Yes(1) No(9)
@ krisnatejaswi wouldnt we have to consider w1,w2,w3 can interchange their position in 3! ways ?
10 years agoHelpfull: Yes(0) No(0)
@ krisnatejaswi wouldnt we have to consider w1,w2,w3 can interchange their position in 3! ways ?
10 years agoHelpfull: Yes(0) No(0)

7 peoples has to selected from 12 mens and 3 womens,no no womens can come together in how many ways v can arrange them?????????