There are five women and six men in a group. From this group, a committee of $4$ members is to be chosen. How many different ways can a committee be formed that contains three women and one man?

55

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60

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25

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192

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Solution

The correct option is B $60$
Number of women $= 5$
Number of men $= 6$
Number of women to be selected $= 3$
Number of men to be selected $= 1$
Number of ways of forming committee
$=^{5} C_{3} \times^{6} C_{1} = 60$
Hence the correct answer is $60$

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There are five women and six men in a group. From this group, a committee of 4 members is to be chosen. How many different ways can a committee be formed that contains three women and one man?

The correct option is B 60Number of women =5Number of men =6Number of women to be selected =3Number of men to be selected =1Number of ways of forming committee=5C3×6C1=60Hence the correct answer is 60

There are five women and six men in a group. From this group, a committee of $4$ members is to be chosen. How many different ways can a committee be formed that contains three women and one man?

The correct option is B $60$
Number of women $= 5$
Number of men $= 6$
Number of women to be selected $= 3$
Number of men to be selected $= 1$
Number of ways of forming committee
$=^{5} C_{3} \times^{6} C_{1} = 60$
Hence the correct answer is $60$