SOLUTION: A drawer contains red socks, black socks, and white socks. What is the least number of socks that must be taken out of the drawer to be sure of having 7 matching pairs of socks? An

Algebra ->  Probability-and-statistics -> SOLUTION: A drawer contains red socks, black socks, and white socks. What is the least number of socks that must be taken out of the drawer to be sure of having 7 matching pairs of socks? An      Log On


   



Question 149095: A drawer contains red socks, black socks, and white socks. What is the least number of socks that must be taken out of the drawer to be sure of having 7 matching pairs of socks? Answer choices of 9, 14,16,17; the correct answer is 16, but I don't understand how to set this problem up! Please help
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
think about getting a pair of socks
__ there are three different colors; so to be assured of getting one pair, you must draw 4 socks

there would be two unmatched socks left; so drawing two more would assure another pair
__ again leaving two unmatched socks

when you have 7 pairs; there will be 16 socks __ 14 matched and 2 unmatched