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Unformatted text preview: 5!)7!/(5! 2!) =25221=231 Alternative way is to count directly committees with 1, 2 or three women. The total number will be: C (7,4) C (3,1)+ C (7,3) C (3,2)+ C (7,2) C (3,3)= 3 7!/(4! 3!)+3 7!/(3! 4!)+7!/(2! 5!)= 3 35+3 35+21=231. 3) (10pts). In how many ways a card hand consisting of 3 spades and 2 hearts can be selected from a standard 52card deck? 3 spades can be selected in C (13,3) different ways. 2 hearts can be selected in C (13,2) different ways. By the product rule the total number of hands is C (13,3) C (13,2)=(13 12 11) (13 12)/(3 2 2)=286 78...
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This document was uploaded on 07/14/2011.
 Spring '09

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