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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?

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:

[tex]8_C_2=\dfrac{8!}{2!\times (8-2)!}\\\\8_C_2=\dfrac{8!}{2!\times 6!}\\\\8_C_2=28[/tex]

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

28 ways.

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