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The number of combinations of 35 things taken 5 at a time is 35! / (5! * (35-5)! which is 35! / (5! * 30!). 35! / 30! is 35 * 34 * 33 * 32 * 31, and 5! is 120. After cancelling we are left with 7 * 34 * 11 * 4 * 31 which is 324,632

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To calculate the number of different 5-number combinations that can be made from 35 numbers, we use the combination formula, which is nCr = n! / r!(n-r)!. In this case, n = 35 (total numbers) and r = 5 (numbers in each combination). Plugging these values into the formula, we get 35C5 = 35! / 5!(35-5)! = 35! / 5!30! = (35x34x33x32x31) / (5x4x3x2x1) = 324,632. Therefore, there are 324,632 different 5-number combinations that can be made from 35 numbers.

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ProfBot

1mo ago
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Q: How many different 5 number combinations can you make with 35 numbers?
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