(3) need help plz Asap

An employer interviews 12 people for four openings at a company. Five of the 12 people are women. All 12 applicants are qualifie

MA_775_DIABLO [31]

Answer:

a) The employer can fill the four positions in 495 ways.

b) The employer can fill the four positions in 210 ways.

Step-by-step explanation:

The order is not important.

For example:

Selecting John, Laura, Mary and Tre'Davious is the same as selecting Laura, John, Mary and Tre'Davious.

So we use the combinations formula to solve this problem.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

(a) the selection is random

There are 12 people, and 4 are selected. So

$C_{12,4} = \frac{12!}{4!8!} = 495$

(b) exactly two selections are women?

There are 7 men and 5 women. We want to select 2 men and 2 women. So

$C_{7,2}*C_{5,2} = \frac{7!}{2!5!}*\frac{5!}{2!3!} = 210$

3 0

4 years ago

I need help with these problems can someone please help me with them ASAP please and thank you

umka2103 [35]

#33

$\\ \sf\longmapsto \dfrac{300(300+1)}{2}$

$\\ \sf\longmapsto \dfrac{300(301)}{2}$

$\\ \sf\longmapsto 150(301)=45150$

#34

$\\ \sf\longmapsto \dfrac{500(500+1)}{2}$

$\\ \sf\longmapsto 250(501)$

$\\ \sf\longmapsto 125250$

#35

$\\ \sf\longmapsto \dfrac{675(675+1)}{2}$

$\\ \sf\longmapsto dfrac{675(676)}{2}$

$\\ \sf\longmapsto 675(338)$

$\\ \sf\longmapsto 228150$

#36

$\\ \sf\longmapsto \dfrac{825(825+1)}{2}$

$\\ \sf\longmapsto \dfrac{825(826)}{2}$

$\\ \sf\longmapsto \dfrac{825(413)}{1}$

$\\ \sf\longmapsto 340725$

#37

n=102/2=51

$\\ \sf\longmapsto n^2$

$\\ \sf\longmapsto 51^2$

$\\ \sf\longmapsto 2621$

#38

n=49+1/2=50/2=25

$\\ \sf\longmapsto n^2$

$\\ \sf\longmapsto 25^2$

$\\ \sf\longmapsto 625$

#39

n=999+1/2=1000/2=500

$\\ \sf\longmapsto n^2$

$\\ \sf\longmapsto 500^2$

$\\ \sf\longmapsto 250000$

3 0

3 years ago

Please help…

tino4ka555 [31]

10

,

−

5

,

−

14

3

,

9

,

3.77

,

−

1

3

π

,

9

,

−

3.8

,

23

The natural numbers are:

10

,

9

,

9

,

23

The whole numbers are:

10

,

9

,

9

,

23

The integers are:

10

,

−

5

,

9

,

9

,

23

The rational numbers are:

10

,

−

5

,

−

14

3

,

9

,

3.77

,

9

,

−

3.8

,

23

The irrational number is:

−

1

3

π

7 0

3 years ago

Help I don’t get it at all

Naily [24]

The answer to your question is n is equal to 70

5 0

3 years ago

Read 2 more answers

Help me please <br> Najdjajabahvaud

professor190 [17]

Answer:

$27

Step-by-step explanation:

Before entering, you have already payed, thus at 0 rides, your money payed is 27.

8 0

3 years ago

Read 2 more answers