Arrange from 1 to 36 in sets of 6
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There are 36C6 ways of selecting 6 numbers between 1 and 36, leaving 30 numbers.

If we continue along these lines we add together the components:

36C6+30C6+24C6+18C6+12C6+6C6=2,695,652.

The question doesn’t say what’s required, but I have assumed it is: how many ways are there of dividing the numbers 1 to 36 into groups of 6?

by Top Rated User (1.1m points)

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