Evaluate
`.^(10)C_7 + ^(10)C_6`

Evaluate ""^(10)C_(1)+""^(10)C_(2)+ . . .+""^(10)C_(10)

Evaluate "^10C_4 .

The value of (.^(21)C_(1) - .^(10)C_(1)) + (.^(21)C_(2) - .^(10)C_(2)) + (.^(21)C_(3) - .^(10)C_(3)) + (.^(21)C_(4) - .^(10)C_(4)) + "…." + (.^(21)C_(10) - .^(10)C_(10)) is

Evaluate : ""^10C_1+""^10C_2+""^10C_3...... ""^10C_10 .

Evaluate the following : "^10C_4+ ^10C_5 .

Evaluate the following : "^10C_8 .

If |{:(.^(9)C_(4),.^(9)C_(5),.^(10)C_(r)),(.^(10)C_(6 ),.^(10)C_(7),.^(11)C_(r+2)),(.^(11)C_(8),.^(11)C_(9),.^(12)C_(r+4)):}|=0 , then the value of r is equal to

Express the following mathematical operations in scientific notation : 7.7 (10* 9) / 6.6 (10*5)

Evaluate : 2C_0+(2^2C_1)/2+(2^3C_2)/3+........+(2^11C_10)/11 .

Express the following mathematical operations in scientific notation : 6.6 (10 *5) . 7.7 (10 *-7)