Evaluate 6P5 = i need help please
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Answer:
The required value of the given expression is 720.
Step-by-step explanation:
E=
6
P
5
.
We know that
the formula for the number of permutations of n different things taken r (r is less than or equal to n) at a time is given by
^nP_r=\dfrac{n!}{(n-r)!}.
n
P
r
=
(n−r)!
n!
.
Therefore, the given expression can be evaluated as follows :
\begin{gathered}E\\\\=^6P_5\\\\\\=\dfrac{6!}{(6-5)!}\\\\\\=\dfrac{6!}{1!}\\\\\\=\dfrac{6\times5\times4\times3\times2\times1}{1}\\\\=720.\end{gathered}
E
= 6P5
= (6−5)
= 6
= 6
= 6×5×4×3×2×1
=720.
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