If `.^nC_30=^nC_4`, find n

If .^nC_12=^nC_8 , find .^nC_17 and ^22C_n

If ^n C_9=^n C_8, find ^nC_17

If .^nC_(n-4)=15 , find .^nC_6

If .^nC_8=^nC_6 , determine n and hence .^nC_2

If .^nC_10= ^nC_12 , determine n and hence .^nC_5

If .^nC_4, ^nC_5 and .^nC_6 are in A.P. then n is equal to (A) 11 (B) 14 (C) 12 (D) 9

If ^(n+1)C_3=2.^nC_2, then n= (A) 3 (B) 4 (C) 5 (D) 6

If ^nC_4, ^nC_5, ^nC_6 are in A.P. then the value of n is

If .^nP_r=840, .^nC_r=35, then find n=

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