SOLUTION: How many increasing permutation of m symbols are there from the set of n numbers{a1,a2,...,an}where the order among the numbers is given by a1 < a2 < a3... < an?

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Question 473365: How many increasing permutation of m symbols are there from the set of n numbers{a1,a2,...,an}where the order among the numbers is given by a1 < a2 < a3... < an?
Answer by Edwin McCravy(20055) About Me  (Show Source):
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How many increasing permutation of m symbols are there from the set of n numbers{a1,a2,...,an} where the order among the numbers is given by a1 < a2 < a3... < an?
We can choose m of of the n terms in C(n,m) ways.

That's the combinations of n things taken m at a time, sometimes
written nCm of %28matrix%282%2C1%2Cn%2Cm%29%29 and the
formula for it is n%21%2F%28m%21%28n-m%29%21%29.

Edwin