Question

evaluate expression 6p5

Answer 1

its like this: (6*5*4*3*2*1)/1 => 720

Answer 2

Answer:  The required value of the given expression is 720.

Step-by-step explanation:  We are given to evaluate the following expression :

$E=^6P_5.$

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

$^nP_r=\dfrac{n!}{(n-r)!}.$

Therefore, the given expression can be evaluated as follows :

$E\\\\=^6P_5\\\\\\=\dfrac{6!}{(6-5)!}\\\\\\=\dfrac{6!}{1!}\\\\\\=\dfrac{6\times5\times4\times3\times2\times1}{1}\\\\=720.$

Thus, the required value of the given expression is 720.