My class consists of 8 men and 7 women. I want to pick a group of 6 people for research. Write each answer using fraction as needed.
a. In how many different ways can I pick this group?
b. What is the probability of having exactly 3 men in the group?
c. What is the probability of all the selected people in group are women?
d. What is the probability of having at least one man in the group?

a.5005

b.

c.1/715

d.714/715

Step-by-step explanation:

We are given that

Total men=8

Total women=7

Total people, n=8+7=15

r=6

a.

Combination formula:

Selection of r out of n people by total number of ways

Using the formula

We have n=15

r=6

Total number of ways=

Total number of ways=

Using the formula

Total number of ways=

Total number of ways=5005

b. The probability of having exactly 3 men in the group

=

Using the formula

Probability,

The probability of having exactly 3 men in the group=

=

=

The probability of having exactly 3 men in the group

=

c. The probability of all the selected people in the group are women

=

The probability of all the selected people in the group are women

The probability of all the selected people in the group are women

d. The probability of having at least one man in the group

=1- probability of all the selected people in group are women

The probability of having at least one man in the group

The probability of having at least one man in the group

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation:

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: