In how many ways can a president, vice president, and secretary be chosen from a class of 20 girls and 30 boys if the president must be a girl and the vice president a boy?

Given:

Number of girls = 20

Number of boys = 30

The president must be a girl and the vice president a boy

To find:

Number of ways to choose a president, vice president, and secretary.

Solution:

The president must be a girl and the vice president a boy. So, out of three students 1 is girl and 1 is boy. Third student can be a girl or a boy.

Total number of ways = Selecting 2 boys and 1 girl +  Selecting 1 boy and 2 girls

Therefore, the required number of ways is 12500.

∠cbe and ∠deb are same-side interior angles.

i took the test

113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734