How do I calculate the number of permutations (nPr) for a set of 11 elements?
To calculate the number of permutations – nPr:
Determine how many numbers you want to choose from the original set. Assume it's 4.
Use the permutation without repetition formula:
nPr= n!/(n - r)!
where: n – number of elements in the set (11); and r – number of elements to choose (4).
Solve the equation: nPr = 11!/(11 - 4!) = 11!/7! = 39916800/5040 = 7920.
The number of permutations equals 7920.
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