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CBSE Class 11-science Answered

It is required to seat 5 men and 4 women in a row so that the women occupy even places.how many such arrangement s are possible.please give the explanation why the women can't occupy the following places M_M_M_M_M_ Which makes 5 vacant places for 4 women.
Asked by shaikh.farid25 | 30 Jun, 2018, 10:30: AM
answered-by-expert Expert Answer
begin mathsize 16px style 5 straight M space and space 4 straight W
women space can space occupy space even space places space
straight M minus straight M minus straight M minus straight M minus straight M minus space
5 space places space available
4 space women space
so space straight P presuperscript 5 subscript 4 equals fraction numerator 5 factorial over denominator 1 factorial end fraction equals 5 factorial
also space 5 space men space can space be space arranged space in space 5 factorial space ways
so space total
5 factorial space cross times space 5 factorial space ways
end style
Answered by Arun | 03 Jul, 2018, 12:32: PM

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