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6.Permutation and Combination
easy
$5$ पुरुषों और $4$ महिलाओं को एक पंक्ति में इस प्रकार बैठाया जाता है कि महिलाएँ सम स्थानों पर बैठती हैं। इस प्रकार के कितने विन्यास संभव हैं ?
A
$2880$
B
$2880$
C
$2880$
D
$2880$
Solution
$4$ men and $4$ women are to be seated in a row such that the women occupy the even places.
The $5$ men can be seated in $5 !$ Ways. For each arrangement, the $4$ women can be seated only at the cross marked places (so that women occupy the even places).
Therefore, then women can be seated in $4!$ ways.
Thus, possible number of arrangements $=4 \times 5 !=24 \times 120=2880$
Standard 11
Mathematics
