vork Question 13, 11.8.33 HW Scors: $$ 73.33 \% $$, 11 of 15 points Pointss 0 of 1 From the 12 male and 11 female sales representatives for an insurance company, a team of 2 In how many ways can the tean of 4 ropresentatives be selected? $$ \square $$ In how many ways can the team of 4 be selected?

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UpStudy AI · Accepted Answer

It seems there was an error in the calculation. Let's calculate the combination manually.

The combination formula is:
$$ C(n, r) = \frac{n!}{r!(n-r)!} $$

In this case, $$ n = 23 $$ and $$ r = 4 $$.

$$ C(23, 4) = \frac{23!}{4!(23-4)!} $$

Let's calculate this manually.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{23!}{\left(4!\times 19!\right)}$$
- step1: Remove the parentheses:
  $$\frac{23!}{4!\times 19!}$$
- step2: Expand the expression:
  $$\frac{23\times 22\times 21\times 20\times 19!}{4!\times 19!}$$
- step3: Reduce the fraction:
  $$\frac{23\times 22\times 21\times 20}{4!}$$
- step4: Multiply the terms:
  $$\frac{212520}{4!}$$
- step5: Calculate the value:
  $$\frac{212520}{24}$$
- step6: Reduce the fraction:
  $$8855$$
The number of ways to select a team of 4 representatives from a total of 23 sales representatives is 8855.
There are 8,855 ways to select a team of 4 representatives from 23 sales representatives.

vork
Question 13, 11.8.33
HW Scors: , 11 of 15 points
Pointss 0 of 1

From the 12 male and 11 female sales representatives for an insurance company, a team of 2
In how many ways can the tean of 4 ropresentatives be selected?

In how many ways can the team of 4 be selected?

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vork Question 13, 11.8.33 HW Scors: , 11 of 15 points Pointss 0 of 1 From the 12 male and 11 female sales representatives for an insurance company, a team of 2 In how many ways can the tean of 4 ropresentatives be selected? In how many ways can the team of 4 be selected?