Question

It is required to sit $5$ men and $4$ women in a row such that women should occupy even places. How many such arrangements are possible?

• A. $7440$
• B. $2880$
• C. $2600$
• D. $2900$

Answer 1

The correct option is B $2880$

$5$ men ,$4$ women

Women even Places

$4$ even places $⟶4$ women

Number of ways of arranging $=4!=24$

Left over places $=5$

Nmber of men $=5$

Arrangement of men $=5!=120$

Total ways of arrangement

$=120\times 24=2880$