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(5) Komi has 9 differently colored square tiles, and he wants to put four of them together to create a larger square consisting of four tiles. Are there P(9, 4) or C(9, 4) ways to complete this task? Explain using words and/or pictures.

Answer :

Answer:

There are  C(9, 4) = 126 ways to complete this task

Step-by-step explanation:

Given : Komi has 9 differently colored square tiles, and he wants to put four of them together to create a larger square consisting of four tiles.

To Find : Are there P(9, 4) or C(9, 4) ways to complete this task?

Solution:

Total different squares = 9

No. of squares required to form a larger square = 4

Since no sequence or order of selection is given .

So, we will use combination over here i.e. C(9,4)

Formula : [tex]C(n,r) = \frac{n!}{r!(n-r)!}[/tex]

[tex]C(9,4) = \frac{9!}{4!(9-4)!}[/tex]

[tex]C(9,4) = \frac{9!}{4!(5)!}[/tex]

[tex]C(9,4) =126[/tex]

So, There are  C(9, 4) = 126 ways to complete this task

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