The value of `(.^7C_0 +.^7C_1)+(.^7C_1+.^7C_2)+(.^7C_6+.^7C_7)` is (A) `2^7-1` (B) `2^8-2` (C) `2^8-1` (D) `2^8`

The value of (.^(7)C_(0)+.^(7)C_(1))+(.^(7)C_(1)+.^(7)C_(2))+(.^(7)C_(6)+.^(7)C_(7)) is (A)2^(7)-1(B)2^(8)-2(C)2^(8)-1(D)2^(8)

The value of (""^(7)C_(0)+""^(7)C_(1))+(""^(7)C_(1)+""^(7)C_(2))+.....+(""^(7)C_(6)+""^(7)C_(7)) is a) 2^(8)-1 b) 2^(8)+1 c) 2^(8) d) 2^(8)-2

The value of (""^(7)C_(0)+""^(7)C_(1))+(""^(7)C_(1)+""^(7)C_(2))+...+(""^(7)C_(6)+""^(7)C_(7)) is

The value of [C(7,0)+C(7,1)]+[C(7,1)+C(7,2)]+...+[C(7,6)+C(7,7)]

(^8C_0)/6-^8C_1+^8C_2xx6-^8C_3xx6^2++^8C_8 6^7

Prove that ""^7C_2+""^7C_3=""^8C_3 .

(""^(8) C_(0) )/(6) - ""^(8) C_1 + ""^(8) C_(2) . 6-""^(8) C_3 . 6^2 + ... + ""^(8) C_(8) .6^(7) is equal to (i) 0 (ii) 6^7 (iii) 6^5 (iv) (5^8)/(6)