# Prove that<

(i) To Prove : Formula :  Writing (n!) in terms of (r!) by using above formula,

= Cancelling (r!),

= n(n - 1)(n - 2)…. (r + 1)

= R.H.S.

LHS = RHS

Note : In permutation and combination r is always less than n, so we can write n! in terms of r! by using given formula.

(ii) To Prove : Formula :  by using above formula, Cancelling (n - r + 1), = R.H.S.

LHS = RHS

(iii) To Prove : Formula :  by using above formula,  Taking common,   = R.H.S.

LHS = RHS

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

<span lang="EN-USRD Sharma - Mathematics

<span lang="EN-USRD Sharma - Mathematics

<span lang="EN-USRD Sharma - Mathematics

In how many ways RS Aggarwal - Mathematics

In how many ways RS Aggarwal - Mathematics

For a set of fiveRS Aggarwal - Mathematics

A mint prepares mRS Aggarwal - Mathematics

A sample of 3 bulRS Aggarwal - Mathematics

From among the 36RS Aggarwal - Mathematics

If 20 lines are dMathematics - Exemplar