Permutation

A permutation is an arrangement of objects in a specific order. The number of permutations of n objects taken r at a time is calculated using the formula nPr=n!/(n−r)!, where n! is the factorial of n. In this case, the number of permutations of 18 objects taken 5 at a time is calculated as 18P5=18!/(18−5)!=18!/13!=18×17×16×15×14=1,028,160. So there are 1,028,160 different ways to arrange 5 objects out of 18 in a specific order. View Solution Guide

Find the number of ways to choose and arrange r objects from a set of n objects by using the permutation formula.

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Number of Permutations from 17 objects picked 1 at a time is:
Number of Permutations from 18 objects picked 2 at a time is:
Number of Permutations from 20 objects picked 1 at a time is:
Number of Permutations from 19 objects picked 2 at a time is:
Number of Permutations from 11 objects picked 3 at a time is:
Number of Permutations from 12 objects picked 8 at a time is:
Number of Permutations from 19 objects picked 0 at a time is:
Number of Permutations from 18 objects picked 8 at a time is:
Number of Permutations from 15 objects picked 7 at a time is:
Number of Permutations from 12 objects picked 4 at a time is:
Number of Permutations from 14 objects picked 7 at a time is:
Number of Permutations from 20 objects picked 8 at a time is:
Number of Permutations from 20 objects picked 7 at a time is:
Number of Permutations from 13 objects picked 5 at a time is:

Number of Permutations from 17 objects picked 1 at a time is:

Number of Permutations from 18 objects picked 2 at a time is:

Number of Permutations from 20 objects picked 1 at a time is:

Number of Permutations from 19 objects picked 2 at a time is:

Number of Permutations from 11 objects picked 3 at a time is:

Number of Permutations from 12 objects picked 8 at a time is:

Number of Permutations from 19 objects picked 0 at a time is:

Number of Permutations from 18 objects picked 8 at a time is:

Number of Permutations from 15 objects picked 7 at a time is:

Number of Permutations from 12 objects picked 4 at a time is:

Number of Permutations from 14 objects picked 7 at a time is:

Number of Permutations from 20 objects picked 8 at a time is:

Number of Permutations from 20 objects picked 7 at a time is:

Number of Permutations from 13 objects picked 5 at a time is:

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