If C(n,4) = C(n,6). Find C(12,n)

C(10,2) = C(n,2).Find n.

If C(n,12) = C(n,16) , then C(30,n) = ?

If C (n,10) =C(n,12) , dertermine C(n,5)

If C (2n,3) : C ( n,2)=12 : 1 find n,

If (1 + x)^(n) = C_(0) + C_(1) x + C_(2) x^(2) + …+ C_(n) x^(n) , prove that C_(0)^(2) - C_(1)^(2) + C_(2)^(2) -…+ (-1)^(n) *C_(n)^(2)= 0 or (-1)^(n//2) * (n!)/((n//2)! (n//2)!) , according as n is odd or even Also , evaluate C_(0)^(2) - C_(1)^(2) + C_(2)^(2) - ...+ (-1)^(n) *C_(n)^(2) for n = 10 and n= 11 .

If ""^(n)C_4= ""^(n)C_6, find n.

If .^(n)C_(12) = .^(n)C_(16) , find the value of n

If \ ^n C_(12)=\ \ ^n C_5,\ find the value of n

If .^(n)C_(8) = .^(n)C_(2) , find .^(n)C_(2) .

If \ ^n C_(10)=\ \ ^n C_(12) f i n d ^(23)C_n