Home
Class 12
MATHS
If (n-r+1)^(n)C(r-1)=mxx^(n)C(r) then m...

If `(n-r+1)^(n)C_(r-1)=mxx^(n)C_(r)` then m=

A

`r!`

B

1

C

n

D

r

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    CHHAYA PUBLICATION|Exercise EXERCISE 7B (Very Short Answer Type Questions )|20 Videos
  • PERMUTATION AND COMBINATION

    CHHAYA PUBLICATION|Exercise EXERCISE 7B ( Short Answer Type Questions )|48 Videos
  • PERMUTATION AND COMBINATION

    CHHAYA PUBLICATION|Exercise EXERCISE 7 A ( Long Answer Type Questions )|12 Videos
  • PARABOLA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams ( E Assertion -Reason Type )|2 Videos
  • PLANE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination( E Assertion - Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

(n)p_(r)=k^(n)C_(n-r),k=

If .^(n)P_(r)=x.^(n)C_(r) x=

.^(n-1)C_(r)+^(n-1)C_(r-1)=

.^(n)C_(r)+2.^(n)C_(r-1)+.^(n)C_(r-2)=.^(n+2)C_(r)(2lerlen) .

If .^(n)P_(r)=120xx.^(n)C_(n-r) , find the valueof r.

If .^(2n)C_(r)=.^(2n)C_(r+2) find the value of r.

Show that .^(n)C_(r)+.^(n-1)C_(r-1)+.^(n-1)C_(r-2)=.^(n+1)C_(r) .

Find n and r if .^(n)C_(r):^(n)C_(r+1):^(n)C_(r+2)=1:2:3 .

show that ^nC_r+ ^(n-1)C_(r-1)+ ^(n-1)C_(r-2)= ^(n+1)C_r

Prove that , .^(n)C_(r)+3.^(n)C_(r-1)+3.^(n)C_(r-2)+^(n)C_(r-3)=^(n+3)C_(r)