Find the value of `.^7 C_5`

Find the value of .^7C_4

Find the value of .^5 C_2

Find the value of .^7P_4

Find the values of .^(9)C_(7)

If a/2=b/3=c/5=(3a-5b+4c)/(K) then find the value of K.

If 1/( ^5C_r)+1/( ^6C_r)+1/(~^4C_r) find the value of r.

If |{:(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 then find the value of m .

Let S={0,1,5,4,7} , number of subsets of S is 32QQ , then find the value of QQ.

Find the value of sin^(-1) ((3)/(5)) + tan^(-1) ((1)/(7))

Find the value of 5C_3 + 4C_2