Difference between revisions of "1986 AHSME Problems/Problem 17"

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\textbf{(B)}\ 23\qquad
 
\textbf{(B)}\ 23\qquad
 
\textbf{(C)}\ 24\qquad
 
\textbf{(C)}\ 24\qquad
\textbf{(D)}\ 30\qquad</math>
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\textbf{(D)}\ 30\qquad
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\textbf{(E)}\ 50    </math>
  
 
==Solution==
 
==Solution==

Revision as of 02:37, 24 October 2014

Problem

A drawer in a darkened room contains $100$ red socks, $80$ green socks, $60$ blue socks and $40$ black socks. A youngster selects socks one at a time from the drawer but is unable to see the color of the socks drawn. What is the smallest number of socks that must be selected to guarantee that the selection contains at least $10$ pairs? (A pair of socks is two socks of the same color. No sock may be counted in more than one pair.)

$\textbf{(A)}\ 21\qquad \textbf{(B)}\ 23\qquad \textbf{(C)}\ 24\qquad \textbf{(D)}\ 30\qquad \textbf{(E)}\ 50$

Solution

See also

1986 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 16
Followed by
Problem 18
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
All AHSME Problems and Solutions

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