Sir a question given . Of permutation and combination

Question

5p3 answer given - 5*4*3 =60

My question is why 3 is also taken here .

I think the answer should be 20 because

5*4*3/3*2*1

 

Answer 1

5P3 is an example of nCr which is DEFINED as n! / (n-r)!

 

In this case, 5! / 2! has the 5•4•3 expansion...it's 5! but with the 2•1 having cancelled the last two factors of 5!

 

Answer 60 is entirely correct.