Question

(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 1

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

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 :
`C(n,r) = (n!)/(r!(n-r)!)`

`C(9,4) = (9!)/(4!(9-4)!)`

`C(9,4) = (9!)/(4!(5)!)`

`C(9,4) =126`

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