In an office of 18 people, there are 7 men and 11 women. A sub-committee of four people will be...
Question:
In an office of 18 people, there are 7 men and 11 women. A sub-committee of four people will be formed from this group.
What is the probability that the sub-committee contains two men and two women?
a. 0.377
b. 0.50
c. 0.261
d. 0.413
Combination:
It is the number of ways in which {eq}r {/eq} objects can be selected out of {eq}n {/eq} without having regard to the order of selection.
Mathematically,
{eq}^nC_r = \dfrac{n!}{r! \times (n-r)!} {/eq}
Answer and Explanation: 1
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View this answerThe probability that the sub-committee contains two men and two women is a. 0.377.
Given: In an office,
- Total number of people, {eq}n {/eq} = 18
- Nu...
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Chapter 13 / Lesson 14Learn how to calculate combinations in a counting or probability problem using a formula. Learn combinatorial rules for finding the number of possible combinations.
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