Question

9. If the permutation of n objects taken r at a time is egin{equation} P(n, r) = frac{n!}{(n-r)!} end{equation} what is the permutation of n objects taken all at a time? A. $n^2$ B. $(2n)!$ C. $n!$ D. $frac{n!}{r!}$

          9. If the permutation of n objects taken r at a time is egin{equation*} P(n, r) = frac{n!}{(n-r)!} end{equation*} what is the permutation of n objects taken all at a time?
A. $n^2$
B. $(2n)!$
C. $n!$
D. $frac{n!}{r!}$

$9. If the permutation of n objects taken r at a time is eginequation* P(n, r) = fracn!(n-r)! endequation* what is the permutation of n objects taken all at a time? A. n^2 B. (2n)! C. n! D. fracn!r!$

Added by Steven H.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Pritesh Ranjan

11/05/2024

Step 1

Now, we want to find the permutation of n objects taken (n-r)! all at a time. Using the formula for permutation, this can be written as (n-r)! / [(n-r)! - (n-r)]!. Simplifying this expression, we get (n-r)! / (n-r-r)! = (n-r)! / (n-2r)!. Show more…

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9. If the permutation of n objects taken r at a time is P (n, r) = n! / (n-r)!, what is the permutation of n objects taken all at a time? A. n^2 B. (2n)! C. n! D. n! / r!