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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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The 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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Combinations in Probability | Equation, Formula & Calculation

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Chapter 13 / Lesson 14
1.5M

Learn 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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