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From the 6 male and 11 female salesrepresentatives for an insurancecompany, a team of 4 men and 2women will be selected to attend anational conference on insurancefraud.

From The 6 Male And 11 Female Salesrepresentatives For An Insurancecompany A Team Of 4 Men And 2women Will Be Selected To Attend Anational Conference On Insuran class=

Sagot :

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]

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