SOLUTION: A soda machine services must restock and collect money from 15 machines, each one at a different location. How many ways can she select four machines to service in one day? A be

Question 1181377: A soda machine services must restock and collect money from 15 machines, each one at a different location. How many ways can she select four machines to service in one day?
A beachfront candy store allows customers to select 3 different candies to be packaged and mailed. If there are 10 varieties available, how many possible selections can be made?
A professional glam squad stylist has one of three nail-polish colors, one of five lipstick shades, and one of four blush shades, how many different combinations can she make?

Answer by ikleyn(52848) (Show Source): You can put this solution on YOUR website!
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(a) A soda machine services must restock and collect money from 15 machines, each one at a different location.
How many ways can she select four machines to service in one day?
(b) A beachfront candy store allows customers to select 3 different candies to be packaged and mailed.
If there are 10 varieties available, how many possible selections can be made?
(c) A professional glam squad stylist has one of three nail-polish colors, one of five lipstick shades,
and one of four blush shades, how many different combinations can she make?
~~~~~~~~~~~~~~~~~

Of the three posted problems, I will solve only two, (b) and (c)

(b)  10*9*8 = 720 possible selections.        ANSWER


     The product of 3 consecutive integer numbers, starting from 10 in descending order.



(c)  3*5*4 = 60  different combinations.      ANSWER


     Fundamental counting principle.

Solved.

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