Since the shirts are identical within their color groups, we only need to consider how to distribute the colors among the children, not the individual shirts.

This is a combination problem. We have 6 children and we need to choose 3 of them to receive the green shirts. The other 3 will automatically receive the red shirts.

The formula for combinations is:

C(n, k) = n! / [k!(n-k)!]

where:
n is the total number of items,
k is the number of items to select,
"!" denotes factorial, which is the product of all positive integers up to that number.

Substituting the given values into the formula, we get:

C(6, 3) = 6! / [3!(6-3)!]

= 6! / [3! * 3!]

= (6 * 5 * 4) / (3 * 2 * 1)

= 20

So, there are 20 different ways to distribute the shirts among the children.

Question

Since the shirts are identical within their color groups, we only need to consider how to distribute the colors among the children, not the individual shirts.

This is a combination problem. We have 6 children and we need to choose 3 of them to receive the green shirts. The other 3 will automatically receive the red shirts.

The formula for combinations is:

C(n, k) = n! / [k!(n-k)!]

where:
n is the total number of items,
k is the number of items to select,
"!" denotes factorial, which is the product of all positive integers up to that number.

Substituting the given values into the formula, we get:

C(6, 3) = 6! / [3!(6-3)!]

= 6! / [3! * 3!]

= (6 * 5 * 4) / (3 * 2 * 1)

= 20

So, there are 20 different ways to distribute the shirts among the children.

Knowee AI · Accepted Answer

Since the shirts are identical within their color groups, we only need to consider how to distribute the colors among the children, not the individual shirts.

This is a combination problem. We have 6 children and we need to choose 3 of them to receive the green shirts. The other 3 will automatically receive the red shirts.

The formula for combinations is:

C(n, k) = n! / [k!(n-k)!]

where:
n is the total number of items,
k is the number of items to select,
"!" denotes factorial, which is the product of all positive integers up to that number.

Substituting the given values into the formula, we get:

C(6, 3) = 6! / [3!(6-3)!]

= 6! / [3! * 3!]

= (6 * 5 * 4) / (3 * 2 * 1)

= 20

So, there are 20 different ways to distribute the shirts among the children.

In how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt

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