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In how many different ways can 3 identical green shirts and

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Bunuel
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In how many different ways can 3 identical green shirts and [#permalink] New post   10 Oct 2017, 20:26
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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?

A. 20
B. 40
C. 216
D. 720
E. 729


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A
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pranab223
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Re: In how many different ways can 3 identical green shirts and [#permalink] New post   10 Oct 2017, 20:53
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Bunuel wrote:
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?

A. 20
B. 40
C. 216
D. 720
E. 729


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Here we can use the MISSISSIPPI rule

Therefore no. of ways = \(\frac{6!}{(3!*3!)}\) = 20
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Re: In how many different ways can 3 identical green shirts and [#permalink] New post   19 Nov 2019, 12:01
Bunuel wrote:
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?

A. 20
B. 40
C. 216
D. 720
E. 729



Just look at that above highlighted word.
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Re: In how many different ways can 3 identical green shirts and [#permalink] New post   21 Sep 2021, 09:13
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Bunuel wrote:
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?

A. 20
B. 40
C. 216
D. 720
E. 729


Kudos for correct solution.


We can take this question and ask an easier question: In how many ways can we choose 3 of the 6 children to receive a green shirt?

Notice that, once we have given a green shirt to each of those 3 chosen children, the REMAINING 3 children must get red shirts. In other words, once we have given green shirts to 3 children, the children who get red shirts is locked.

So, in how many ways can we select 3 of the 6 children to receive a green shirt?
Since the order of the selected children does not matter, this is a combination question.
We can choose 3 children from 6 children in 6C3 ways (= 20 ways)

Answer: A
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Re: In how many different ways can 3 identical green shirts and [#permalink] New post   04 Jan 2024, 13:04
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In how many different ways can 3 identical green shirts and [#permalink]
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