How many 6 combinations you can make in 49 numbers?

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Answer

1281815

2026-05-10 10:50

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The notation is 49C6.

The formula for combination: nCr = n! / {r! * (n-r)!}

Recall that m! = m*(m-1)*(m-2)*...*2*1

That is the official way. You can use a calculator to find n! r! and (n-r)!

We can also use hand-calculation by applying the formula in a different fashion. That is nCr = {(n * (n-1) * ... * (n-r+1) / r!} Let us do hand-calculation to solve the problem.

49C6 = (49 * 48 * 47 * 46 * 45 * 44) / ( 6 * 5 * 4 * 3 * 2 * 1) = 13983816.

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