Question

What are the number of ways of seating 7 candidates for an interview around a round table if all the 4 women want to sit together?

Answer 1

Answer:

answer of the question is 4 fact * 4fact

Answer 2

Permutation and Combination

Number of candidates$=7$

Number of women $=4$

According to question, if 4 women sits together, then number of ways of seating 7 candidates,

We need to group all 4 women as 1,

so we should consider 7 candidate as 4 candidate,

so number of ways will be $4!\times 4!$, because those 4 women can shuffle among themselves.

Hence, total number of required ways  are $4!\times 4!$.