3*2 = 6
There are 36 possible combinations.
It depends on how many numbers are in each combination. If there are 5 numbers in each combination, then you have 575,757 possibilities. If there are 2 in each combination, there you have 741 possibilities. If there's only 1 number in each combination, then there are only 39 possibilities.
10 cups is thirty "third-cups". so 30/2 ie 15 "two-third" cups.
Assuming you want 2 different side dishes, they can be chosen in 9 × 8 ways, but as the order doesn't matter every combination has been chosen twice so that there are 9 × 8 ÷ 2 = 36 difference choices. There is a general formula for choosing r different items from a set of n items: nCr(n, r) = n!/(r!(n-r)!) where the exclamation mark means "factorial", which is n × (n-1) × (n-2) × ... × 2 × 1. eg 4! = 4 × 3 × 2 × 1 = 24. 0! is defined to be 1. For 2 items from 9 this gives: nCr(9, 2) = 9!/(2!(9-2)!) = 9!/(2!7!) = (9 × 8 × 7 × 6 × ... × 1)/((2 × 1) × (7 × 6 × ... × 1)) = (9 × 8)/2 = 36 (as before).
Suppose the 5 letters are A, B, C, D and E. The letter A can either be in the combination or not: 2 options for A. With each of these options, B can either be in the combination or not: 2 options for B - making 2*2 options so far. With each of the options so far, C can either be in the combination or not: 2 options for C - making 2*2*2 options so far. and so on. So for 5 letters there are 25 = 32 combinations. However, one of these is the combination that excludes each of the 5 letters - ie the null combination. Excluding the null combination gives the final answer of 31 combinations.
They have won 2 rose bowls
he won 2 super bowls
Peyton Manning - 11 pro bowls Eli Manning - 2 pro bowls Archie manning - 2 pro bowls
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The Washington Redskins won 3 Super Bowls and lost 2.
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