A committee of 3 men and 4 women , is to be formed from 5 men and 7 women . How many different committees can be formed if : A. a particular man must be on the seat
B .two particular must not be on the committee
C. There are no restrictions.

Topic : Permutation and combination

A particular man on the seat, then 2 men are out of 4:

4 women out of 7:

Total combinations:

Option 1. 2 men excluded

3 men out of 3 and 4 women out of 7

Total ways:

Option 2. 2 women are excluded

3 men out of 5 and 4 women out of 5

Option 3. 1 man and 1 woman excluded

3 out of 4 men and 5 out of 6 women:

No restrictions, so the number of ways:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

what level of math? also i don't need to be paid if i can you.