There are 660 different methods to choose the seven-person team.
A permutation is a process of putting items or pieces in a certain order. Combinations are a method of picking things or pieces from a set of objects or collections when the order of the objects is irrelevant.
Given data;
There are 6 male and 11 female
A team of 3 men and 4 women will be selected
There are 6 males need to choose 3 of them. Use the combination nCr, where n is the total number and r is the ways;
The number of choices obtained:
⇒6C₃= 20
There are 11 females. We need to choose 3 of them
⇒11C₄ = 330
The number of ways can the team of 7 be selected will be;
⇒6C₃×11C₄
⇒20×330
⇒660
Hence, the number of ways can the team of 7 be selected will be 660.
To learn more about permutations and combinations, refer to https://brainly.com/question/11958814.
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