Teerip, this is the solution:
Let's recall that Probability is the division between the total number of desired outcomes and the total number of outcomes.
We will use the Combinations formula to calculate the probability of women and men are selected because the order isn't important, as follows:
The group of men has 24 persons and we're looking to select 17.
The group of women has 22 individuals and we're looking to select 20.
Therefore, the total number of desired outcomes is:
• C (24, 17) = 24!/ 17! * 7! = 346,104
,
• C (22, 20) = 22!/ 20! * 2! = 231
,
• Total number of desired outcomes = 346,104 * 231 = 79'950,024
And the total number of outcomes is:
17 men + 20 women, out of 46 students. In consequence,
C (46, 37) = 46!/ 37