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Nine wolves, eight female and one male, are to be released into the wild three at a time.


If the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed?

Verified Answer :

The correct answer is 28 ways.

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Answer:

Hence, we can form a group of three wolves in:

28 ways.

Step-by-step explanation:

We are given:

Nine wolves, eight female and one male.

We have to release three at a time also the male wolf is to be in the first released group and order does not matter

Then we have to choose 2 female wolves out of 8

as the order does not matter so we have to use combination

Hence, it is given as:

\(8_C_2=\dfrac{8!}{2!\times (8-2)!}\\\\8_C_2=\dfrac{8!}{2!\times 6!}\\\\8_C_2=28\)

Hence, we can form a group of three wolves in:

28 ways.