How many ways are there to choose five doughnuts if there are eight varieties (and only the type of each doughnut matters)?

There are 56 ways to choose 5 from 8 varieties.

Step-by-step explanation:

a) Choosing 5 out of 8

This is a combination problem, given by the formula below:

C(n,r)=?

C(n,r)=C(8,5)

=8!/(5!(8−5)!)

= 56

b) A combination is the number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed. The result of this combination of 5 out of 8 varieties shows that there 56 ways one can choose.  The formula is given by 8 factorial divided by (5 factorial by 3 factorial).

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step-by-step explanation:

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you have 6 equal triangles, find the area of one of them (b*h/2) and multiply by 6

(8*4: 2)*6 =

32 cm² is your answer