how many different combinations of six people can sit in four chairs? assume one person sits in each chair

We want to choose 4 people and we have 6 people to choose from. This is a combination of 6, 4 by 4. Also called six choose four.

The following formula:

Is the combination of objects choosen from a total of . It's choose .

For our problem, we just need to compute the following:

Thus

Therefore the answer is 15 different combinations

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