<PRE><B>Question 143040</B>
8 are odd, 7 are even.
All the possible combinations are:
8C6=28 [all odd]
8C5 * 7C1 =56*7=392 [5 odd, 1 even]
8C4 * 7C2 =70*21=1470 [4 odd, 2 even]
8C3 * 7C3 =56*35=1960 [3 odd, 3 even]
8C2 * 7C4 =28*35=980 [2 odd, 4 even]
8C1 * 7C5 =8*21=168 [1 odd, 5 even]
7C6=7 [all even]
.
Adding all these numbers we get 5005 possible combinations.
Only those with an odd number of odd numbers give an odd result.
They are: 392+1960+168=2520
2520/5005=72/143 or .503497 Probability that the sum of the numbers will be odd.
.
Ed


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