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2 years ago

Combination...

1 answer:

8 0

The total combination will be, 45195 if the selecting dance troupe with 6 girls and 7 boys out of 20 girls and 15 boys who auditioned.

<h3>What is permutation and combination?</h3>

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Selecting a dance troupe with 6 girls and 7 boys out of 20 girls and 15 boys who auditioned.

It is a combination problem:

Selecting 6 girls out of 20 = C (20, 6)

Selecting 7 boys out of 15 = C (15, 7)

Total combination = C (20, 6) + C (15, 7)

= 38760 + 6435

= 45195

Thus, the total combination will be, 45195 if the selecting dance troupe with 6 girls and 7 boys out of 20 girls and 15 boys who auditioned.

Learn more about permutation and combination here:

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