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(52903)      (Show Source): 
You can  put this solution on YOUR website! . 
(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.
 
 
 
 
  | 
 
  
 
 |   
 
 |