Q:

From the 11 male and 7 female sales representatives for aninsurance company a team of 3 men and 3 women will beselected to attend a national conference on insurance fraud.in howselectIn how many ways can the team of 6 be selected?

Accepted Solution

A:
In 5,775 ways the team of 6 can be selectedStep-by-step explanation:The given is:There are 11 male and 7 female A team of 3 men and 3 women will be  selectedWe need to find in how many ways the team of 6 can be selected∵ There are 11 male∵ We need to chose 3 of them- Use the combination nCr, where n is the total number and r is the   number of choices∴ 11C3 = [tex]\frac{(11)(10)(9)}{(3)(2)(1)}[/tex]∴ 11C3 = 165∵ There are 7 female∵ We need to chose 3 of them∴ 7C3 = [tex]\frac{(7)(6)(5)}{(3)(2)(1)}[/tex]∴ 7C3 = 35∵ The number of ways of the team of 6 = 11C3 * 7C3∴ The number of ways of the team of 6 = 165 × 35∴ The number of ways of the team of 6 = 5,775In 5,775 ways the team of 6 can be selectedLearn more:You can learn more about permutations in brainly.com/question/10525991#LearnwithBrainly