Home
Class 12
MATHS
If n and r are integers such that ...

If n and r are integers such that ` 1 le r le n` then `n. C (n-1,r-1)=`

A

`n(n,r)`

B

`n.c(n,r)`

C

`r .C (n,r)`

D

`(n-1).C(n,r)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONS ) SET -1|9 Videos
  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONS ) SET -2|5 Videos
  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A (PERMUTATIONS )|199 Videos
  • PARTIAL FRACTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|2 Videos
  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET-4|5 Videos

Similar Questions

Explore conceptually related problems

n and r integers such that 1lerlen , then n. ""^(n-1)C_(r-1) is

IF n and r are positive inegers such that r le n then ""^(n) C_(r) + ""^(n)C_(r-1) =

IF n is an integer with 0 le n le 11 then the minimum value of n !(11-n)! is attained when a value of n=

If R, n are positive integers, n is odd, 0lt F lt1" and if "(5sqrt(5)+11)^(n)=R+F, then prove that R is an even integer and

If R, n are positive integers, n is odd, 0lt F lt1" and if "(5sqrt(5)+11)^(n)=R+F, then prove that (R+F).F=4^(n)

If n is a positive integer and C_4 = ""^nC_r then find the value of sum_(x = 1)^n r^2 ((C_r)/(C_(r - 1)) )

If C_0, C_1, C_2 ,……..C_n are the coefficient in the expansion of (1 + x)^n then show that C_0 C_r + C_1 C_(r + 1) + C_2 C_(r + 2) + ………..+ C_(n-r).C_n = ((2n)!)/((n-r)!(n+r)!)