Suppose you can chose from 3 different shirts, 2 pairs of pants, and 5 pairs of shoes. use the fundamental counting principle to find out how many different outfit combinations you can make.

You can make 10 combinations.

Step-by-step explanation:

you can make 10 combinations because all you have to do is just add all the numbers then you get 10

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.