Difference between revisions of "1996 AHSME Problems/Problem 26"

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==Problem==
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An urn contains marbles of four colors: red, white, blue, and green. When four marbles are drawn without replacement, the following events are equally likely:
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(a) the selection of four red marbles;
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(b) the selection of one white and three red marbles;
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(c) the selection of one white, one blue, and two red marbles; and
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(d) the selection of one marble of each color.
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What is the smallest number of marbles satisfying the given condition?
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<math> \text{(A)}\ 19\qquad\text{(B)}\ 21\qquad\text{(C)}\ 46\qquad\text{(D)}\ 69\qquad\text{(E)}\ \text{more than 69} </math>
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==See also==
 
==See also==
 
{{AHSME box|year=1996|num-b=25|num-a=27}}
 
{{AHSME box|year=1996|num-b=25|num-a=27}}

Revision as of 13:18, 19 August 2011

Problem

An urn contains marbles of four colors: red, white, blue, and green. When four marbles are drawn without replacement, the following events are equally likely:

(a) the selection of four red marbles;

(b) the selection of one white and three red marbles;

(c) the selection of one white, one blue, and two red marbles; and

(d) the selection of one marble of each color.

What is the smallest number of marbles satisfying the given condition?

$\text{(A)}\ 19\qquad\text{(B)}\ 21\qquad\text{(C)}\ 46\qquad\text{(D)}\ 69\qquad\text{(E)}\ \text{more than 69}$

See also

1996 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 25
Followed by
Problem 27
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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