find the value of n 8pn = 8*7*6 solution of this question
topic is permutation and combination
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1 Answer

8Pn=8×7×6=8P3 so n=3, the number of permutations of 3 items out of 8.

Here's how it works:

If we have 8 items and we wish to select 3, one by one, then we have a choice of any one of 8 for the first selection, leaving 7 to choose from next; so we have 8×7=56 possible permutations (each of the 8 first choices combines with each of the 7 second choices). There are now 6 items left, so  we have 8×7×6=336 possible permutations in selecting 3 items out of 8. (In permutations the order is important. In combinations, the order is irrelevant. Selecting A then B then C in that order is not the same permutation as selecting C then A then B. But it is the same combination. The number of combinations is always less than the number of permutations.)

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asked Dec 4, 2014 in Other Math Topics by hailey | 981 views
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