Evaluate the following:
(i) `.^(10)C_(5)` (ii) `.^(12)C_(8)`
(iii) `.^(15)C_(12)` (iv) `.^(n+1)C_(n)`
(v) `.^(14)C_(9)`

Evaluate the following (i) ""^(10)C_(3) (ii) ""^(15)C_(13) (iii) ""^(100)C_(99) (iv) ""^(50)C_(50)

Evaluate the following : (i) ""^(8)P_(5) (ii) ""^(10)P_(3) (iii) ""^(12)C_(7) (iv) ""^(9)C_(0) .

Evaluate: (i) .^(10)C_(3) " " (ii) .^(11)C_(8) (iii) .^(50)C_(48) " " (iv) .^(63)C_(63)

Find the value of n: (i) .^(n)C_(10)=^(n)C_(16) (ii) .^(15)C_(n) =^(15)C_(n+3) (iii) .^(10)C_(n) =^(10)C_(n+2) (iv) .^(25)C_(3n) =.^(25)C_(n+1) (v) .^(n)C_(r) =.^(n)C_(r-2)

Evaluate: (i) ""^(20)C_(4) " " (ii) ""^(16)C_(13) " " (iii) .(90C_(88) (iv) ""^(71)C_(71) " " (v) ""^(n+1)C_(n) " " (vi) Sigma_(r=1)^(6) ""^(6)C_(r)

If .^(n)C_(12) = .^(n)C_(9) " find " .^(21) C_(n)