10 men and 12 women will be seated in a row of 22 chairs. what is the probability that all men will be seated side by side in 10 consecutive positions? 1/c(22, 10) 10! /c(22, 10) 10! /22! 10! middot 12! /22! 10! middot 13! /22!

The correct option is 4.

Step-by-step explanation:

It is given that 10 men and 12 women will be seated in a row of 22 chairs.

Total possible ways to arrange n terms is n!.

Similarly,

Total possible ways to place 22 people on 22 chairs = 22!

It is given that all men will be seated side by side in 10 consecutive positions.

Total possible ways to place 10 people on 10 chairs = 10!

Let 10 men = 1 unit because all men will be seated side by side in 10 consecutive positions. 12 women = 12 units because women can any where.

Total number of units = 12 + 1 = 13.

Total possible ways to place 13 units = 13!

Total possible ways to place 10 men and 12 women, when all men will be seated side by side in 10 consecutive positions is

The probability that all men will be seated side by side in 10 consecutive positions

Therefore the correct option is 4.

where is the graph

step-by-step explanation: