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Examples of Permutations of less than all

Permutations of less than all Post by natttt
Posted on 2011-03-22 00:01:06
A permutation is an arrangement in which order is important. The notation for permutations is P(n,r) which is the number of permutations of "n" things if only "r" are selected.

One example: If nine students take a test and all have different scores, the highest score could be achieved by any of the nine students. The second highest score could be achieved by one of the remaining 8 students. The third highest score could be achieved by one of the 7 remaining students.

The number of possible permutations would be: P(9,3) = 9*8*7 = 504 possible arrangements of the top three scores.

More examples of permutations:

P(8,3) = 8*7*6 = 336

P(4,2) = 4*3 = 12

P(n,r) = n*(n-1)*(n-2)... to r factors

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