You can put this solution on YOUR website! How many ways can you choose 3 flowers from an arrangement of 5?
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If there's no ordering, all flowers are the same:
5*4*3 = 60 ways
But, if flowers A, B & C is the same as C, B & A, then it's
5*4*3/(3*2*1) = 10 ways
The number of ways to choose 3 things from the set of 5 things is
= = = = cancel 3! = 1*2*3 in both the numerator and denominator = = = 10.
In general case, the number of ways to choose "m" things from the set of "n" things (n > m) is
= = = .
It is called the "number of combinations of n items taken m at a time".
