HELLLL I’ll give Brainlist
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Answer:
This can be solved using Combination.
Step-by-step explanation:
Using combination principle ⁿCₐ =
Given that;
n = total number of items available
a = number of items being chosen
The total number of candidates = 8
Women candidates = 3
Men candidates = 5
Job openings = 4
(a.) For a random selection,
n = total number of candidates = 8
a = job openings available = 4
Possible combinations is given by
⁸C₄ = = 70 ways
Hence, the employer can fill the four positions randomly in 70 possible ways.
(b.) With exactly 2 selections as women.
Then we solve the combination separately.
For women, exactly 2 is selected of 3;
³C₂ = = 3 ways
For men, we are left with 2 selections from 5
⁵C₂ = = 10 ways
Hence, the possible combination is 3 x 10 = 30 ways
Hence, the employer can make exactly 2 women selections in 30 possible ways.