Answer:
[tex]825\text{ ways}[/tex]
Explanation:
Here, we want to get the number of ways in which the team of 6 will be selected
From the question, out of 6 males, 4 will be selected, while out of 11 females, 2 will be selected
To select r from a total of n, we use the following formula:
[tex]^nC_r\text{ = }\frac{n!}{(n-r)!r!}[/tex]
Selecting 4 out of 6, we have:
[tex]^6C_4\text{ = }\frac{6!}{(6-4)!4!}\text{ = 15}[/tex]
For the second part, we are selecting 2 out of 11, we have that as:
[tex]^{11}C_2\text{ = }\frac{11!}{(11-2)!2!}\text{ = 55}[/tex]
The total number of ways will be the product of the two as follows:
[tex]55\times15\text{ = 825 ways}[/tex]
