Evaluate `.^19C_18+^19C_17`

Evaluate: (i) .^(12)C_(1)+.^(12)C_(2)+.^(12)C_(3)+ . . .+.^(12)C_(12) (ii) .^(19)C_(3)+.^(19)C_(5)+.^(19)C_(7)+ . . .+^(19)C_(19) .

Evaluate (i) ""^(10)C_(4)+""^(10)C_(5) (ii) ""^(13)C_(6)+ ""^(13)C_(5) (iii) ""^(19)C_(17)+ ""^(19)C_(18) .

Evaluate |{:(13,16,19),(14,17,20),(15,18,21):}| .

Evaluate : 3/19 + 8/19 + 2/19

The value of sum_(r=0)^(10)(r)^(20)C_(r) is equal to 20(2^(18)+^(19)C_(10)) b.10(2^(18)+^(19)C_(10)) c.20(2^(18)+^(19)C_(11)) d.10(2^(18)+^(19)C_(11))

Find the odd number from the given alternatives. 11, 17, 19, 21

Unit's digit of (17)^(18)+(18)^(19)+(19)^(20) is

The sum of series (2^19 + 1/2^19) + 2(2^18 + 1/2^18 ) +3 (2^17 + 1/2^17) + …. + (19) (2+1/2) + 20 is :