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We are seeing that computing combinations and permutations involves the n! (factorials) function, which increases very rapidly as n increases. For example, the formula for the number of combinations of m objects taken from a group of n objects is giving by:
n! / m!(n - m)!
But there is a way to deal with these very high values that usually does not require the use of a calculator. For example:
40! / (3!(40 - 3)!).
40! is a very large number having 47 places, but how can the above computation be done very easily without the use of a calculator?
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