Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
Total number of shirts purchased for her team = 12
Number of shirts places in the first bag = 5
We need to find the number of ways a group of 5 shirts be placed in that first bag.
We will use "Combination" to find the number of different ways :
As we know the formula for Combination.
[tex]^nC_r=\frac{n!}{r!\times (n-r)!}\\\\here, n=12\\\\r=5\\\\So,\ it\ becomes,\\\\^{12}C_5=\frac{12!}{5!\times 7!}\\\\=\frac{12\times 11\times 10\times 9\times 8}{5\times 4\times 3\times 2}\\\\=792[/tex]
Hence, there are 792 ways to do so.
Therefore, Option 'C' is correct.
