Let `X = {1, 2, 3,.......... 10} and P = {1, 2, 3, 4, 5}`. The number of subsets Q of X such that `P Delta Q = {3)` is __________

Let P={1,2,3} , Q={a, b} Find P x Q and Q x P

If p ,q , in {1,2,3,4}, then find the number of equations of the form p x^2+q x+1=0 having real roots.

If p ,q , in {1,2,3,4}, then find the number of equations of the form p x^2+q x+1=0 having real roots.

If p ,q , in {1,2,3,4}, then find the number of equations of the form p x^2+q x+1=0 having real roots.

If p ,q , in {1,2,3,4}, then find the number of equations of the form p x^2+q x+1=0 having real roots.

Let X_(n)={1,2,3, . . .,n} and let a subset A of X_(n) be chosen so that every pair of elements of A differ by at least 3. (For example, if n=5, A can be cancelO , {2} or {1,5} among others). When n=10, let the probability that 1 in A be p and let the probability that 2 in A be q. Then -

The number of rational numbers (p)/(q), where p,q in[1,2,3,4,5,6} is