" (iv) "^(10)C_(4)

Verify that: (i) .^(15)C_(8)+.^(15)C_(9)-.^(15)C_(7)=0 " " (ii) .^(10)C_(4)+.^(10)C_(3)=.^(11)C_(4)

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

Find the value of following. (i) ""^(15)C_(11) (ii) ""^(10)C_(4)

Given are six 0' s, five 1' s and four 2's . Consider all possible permutations of all these numbers. [A permutations can have its leading digit 0 ]. How many permutations have the first 0 preceding the first 1 ? (a) "^(15)C_(4)xx^(10)C_(5) (b) "^(15)C_(5)xx^(10)C_(4) (c) "^(15)C_(6)xx^(10)C_(5) (d) "^(15)C_(5)xx^(10)C_(5)

Find the value of ""^(10)C_(5)+2. ""^(10)C_(4)+""^(10)C_(3) .

The value of |{:(""^(10)C_(4), ""^(10)C_(5), ""^(11)C_(m)), (""^(11)C_(6), ""^(11)C_(7), ""^(12)C_(m+2)), (""^(12)C_(8), ""^(12)C_(9), ""^(13)C_(m+4)):}|=0 when m is equal to :