Question

The number of ways in which $6$ men can be arranged in a row, so that three particular men are consecutive, is

• A. $4!\times 3!$
• B. $4!$
• C. $3!\times 3!$
• D. none of these

Answer 1

Answer: (A)

$4!\times 3!$

To arrange $6$ men in a row such three particular men are consecutive $M_1{M}_2{M}_3{M}_4{M}_5{M}_6$

three men to be consecutive lets make $3$ men in a Group

$\left(M_1{M}_2{M}_3\right)$ $M_4{M}_5{M}_6$

Total no. of ways of arranging them is $4!\times 3!$.