Find the value of ` ""^(6) C _3 and ""^(30)C_(28)`

Find the value of 5C_3 + 4C_2

If (1 + x)^(n) = C_(0) + C_(1)x + C_(2)x^(2) + C_(3) x^(3) + C_(4) x^(4) + ..., find the values of (i) C_(0) - C_(2) + C_(4) - C_(0) + … (ii) C_(1) - C_(3) + C_(5) - C_(7) + … (iii) C_(0) + C_(3) + C_(6) + …

When a=3,b=0, c=-2 find the value of : a^(3)+b^(3)+c^(3)-3abc

Find the value of : (a) 9.756 - 6.28 (b) 21.05 - 15.27 (c) 18.05 - 6.79 (d) 11.6 - 9.847

Find the value of C_0 - [C_1 -2.C_2+ 3.C_3-……..+(-1)^(n-1).n.C_n]

Find the value of .^20 C_0-(.^20C_1)/2+(.^20C_2)/3-(.^20C_3)/4+...

If the value of the sum 29(.^(30)C_(0))+28(.^(30)C_(1))+27(.^(30)C_(2))+…….+1(.^(30)C_(28))-(.^(30)C_(30)) is equal to K.2^(32) , then the value of K is equal to

Find the value of :^50C_4+sum_(r=1)^6 .^(56-r)C_3.

Find the value of k if the points A(2,\ 3),\ B(4,\ k)\ a n d\ C(6,\ 3) are collinear.

In a Delta A B C , If a=18 ,\ b=24 ,\ c=30 , find the value of cos A ,\ cos B\ a n d\ cos Cdot