Need math help to determine the number of certain points (#8)

label Mathematics
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schedule 1 Day
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In a television game show, the winner is asked to select three prizes from five different prizes, A, B, C, D, and E. Describing a sample space of possible outcomes (order is not important) determine the number of points there are in the sample space corresponding to a selection that includes A.
A.
B.
C.
D.
Nov 22nd, 2015

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Number of possible combination of n thing taken r at a time is  nCr

Here,n=5 and r=3 therefore total possible combination=5C3=10(sample space)

The sample space are {ABC,ACD,ADE,ABE,BCD,BDE,CDE,CEA,DBA,BEC}

From the sample space it is clear that A appears six times in the 10 prizes combination.

answer-option A

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Nov 22nd, 2015

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