For each of the following problems, identify whether it is a permutation or combination problem, and then give the answer.
a) if there are 15 people on a baseball team, how many different 9-person batting orders can a manager make?
b) how many different 5-person squads can a basketball coach send out onto the floor with 11 people on the team?

See below.

Step-by-step explanation:

a) Permutation because the order of the batting matters.

Answer is 15P9 =  15! / (15 - 9)!

= 1,816,214,400

b)  Combination because the order of the 5 person squads does not matter.

Answer is 11C5 = 11! / 5!6!

= 462.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

i hope this is what you were looking for.

see attached graph