What is the relationship between 5P3 and 5C3?

1 Answer
Feb 13, 2016

""^5P_3=6*""^5C_35P3=65C3

Explanation:

Relation between ""^nP_rnPr and ""^nC_rnCr is given by

""^nP_r=""^nC_r*r!nPr=nCrr!

Hence ""^5P_3=""^5C_3*3!5P3=5C33!

or ""^5P_3=6*""^5C_35P3=65C3