The value of expression `.^47 C_4+sum_(j=1)^5.^(52-j)C_3` is equal to a.`.^47 C_5` b. `.^52 C_5` c. `.^52 C_4` d. none of these

The value of sum_(r=0)^(50)(-1)^r((50)C_r)/(r+2) is equal to a . 1/(50xx51) b. 1/(52xx50) c. 1/(52xx51) d. none of these

The value of sum_(0leiltjle5) sum(""^(5)C_(j))(""^(j)C_(i)) is equal to "_____"

If x is real, then the value of the expression (x^2+14x+9)/(x^2+2x+3) lies between (a) 5 and 4 (b) 5 and -4 (c) -5 and 4 (d) none of these

The sum sumsum_(0leilejle10) (""^(10)C_(j))(""^(j)C_(r-1)) is equal to

The coefficient of x^(53) in the expansion sum_(m=0)^(100)^100C_m(x-3)^(100-m)2^m is (a) 100 C_(47) (b.) 100 C_(53) (c.) -100C_(53) (d.) none of these

Value of (1+1/3)(1+1/(3^2))(1+1/(3^4))(1+1/(3^8))........oo is equal to a. 3 b. 6/5 c. 3/2 d. none of these

Two packs of 52 cards are shuffled together. The number of ways in which a man can be dealt 26 cards so that he does not get two cards of the same suit and same denomination is a. ^52 C_(26). 2^(26) b. ^104 C_(26) c. dot^(52)C_(26) d. none of these

The sum of rational term in (sqrt(2)+^3sqrt(3)+^6sqrt(5))^(10) is equal to 12632 b. 1260 c. 126 d. none of these

The value of determinant |{:(5,2),(7,4):}| is ......

The value of 3^((log)_4 5)-5^((log)_4 3) is 0 (b) 1 (c) 2 (d) none of these