Question

in how many ways can 7 members of the content team, 5 members of the r&d team, 3 members of hr and 2 members of the sales team be allotted workstations in a row so that all employees of the same team sit together?

Answer 1

no. of ways = P(7,7)* P(5,5)* P(3,3)* P(2,2)* P(4,4)

= 7! * 5! * 3! * 2! * 4!

Answer 2

Solution:

7 members of content team can be arranged in 7! ways.....(A)

5 members of R and D team can be arranged in 5! ways.  ....(B)

Similarly , 3 members of HR can be arranged in 3! ways.  ......(C)

And 2 members of sales team can be arranged in 2! ways.....(D)

These four groups A,B,C,D can be arranged in 4! ways.

So the possible arrangement ,So that all employees of the same team sit together = [7! × 5! × 4! ×2!] ×4!