How many permutations of size r can be drawn from a collection of n objects? Please give a short explination
How many permutations of size r can be drawn from a collection of n objects? Please give a short explination
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Subject Discrete Structures
How many permutations of size r can be drawn from a collection of n objects? Please give a short explination
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Step 1
If n is a positive integer and r is a whole number, such that r < n, then P(n, r) represents the number of all possible arrangements or permutations of n distinct objects taken r at a time. In the case of permutation without repetition, the number of available choices will be reduced each time.
P(n, r) = n(n-1)(n-2)(n-3)……..upto r factors
P(n, r) = n(n-1)(n-2)(n-3)……..(n – r +1)
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