From a group of 6 men and 4 women a committee of 4 persons is to be formed ?Question 3Answera.210b.225c.255d.195
Question
From a group of 6 men and 4 women a committee of 4 persons is to be formed?
Question 3
Answer options:
- a. 210
- b. 225
- c. 255
- d. 195
Solution
The question is asking for the number of ways a committee of 4 persons can be formed from a group of 6 men and 4 women.
This is a combination problem, because the order in which the people are selected does not matter.
The formula for combinations is C(n, r) = n! / [r!(n-r)!], where n is the total number of options, r is the number of options chosen, and "!" denotes a factorial, which means to multiply all positive integers from our chosen number down to 1.
In this case, n = 6 men + 4 women = 10 people, and r = 4 people.
So, we plug these numbers into our formula:
C(10, 4) = 10! / [4!(10-4)!] = (10987654321) / [(4321)(654321)] = (10987) / (4321) = 210
So, there are 210 ways to form a committee of 4 people from a group of 6 men and 4 women. Therefore, the answer is a. 210.
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