The number of ways committees of 2 men and 3 women can be formed is 60.
What is Permutation and Combination ?
The method of arranging objects in order is called Permutation and the method of selecting things from a group of objects such that the order doesn't matter is called Combination.
Total Men = 6
Total Women = 4
Committee should consists of 2 men and 3 women
2 men from 6 men can be selected in [tex]\rm ^6 C _2[/tex] ways
3 women from 4 women can be selected in [tex]\rm ^4C_3[/tex] ways
The number of ways committees of 2 men and 3 women can be formed can be determined by Multiplication Principle
[tex]\rm ^6 C _2[/tex] * [tex]\rm ^4C_3[/tex]
15 * 4
= 60 ways
Therefore the number of ways committees of 2 men and 3 women can be formed is 60.
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