SOLUTION: Three numbers are chosen at random without replacement from the set {0, 1, 2, 3, ... , 10}. Calculate the probabilities that for the three numbers drawn what the probabilities t

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Question 886821: Three numbers are chosen at random without replacement from the set {0, 1, 2, 3, ... , 10}. Calculate the probabilities that for the three numbers drawn
what the probabilities that the sum is equal to 7

Answer by Edwin McCravy(20065) About Me  (Show Source):
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Three numbers are chosen at random without replacement from the set {0, 1, 2, 3, ... , 10}. Calculate the probabilities that for the three numbers drawn

what the probabilities that the sum is equal to 7
The only combinations that sum to 7 are these 4:

0+1+6 = 7
0+2+5 = 7
0+3+4 = 7
1+2+4 = 7

The number of combinations of 3 numbers are C(11,3) = 165

Answer 4%2F165

Edwin