Two different numbers are taken from the set `{0,1,2,3,4,5,6,7,8,9,10}dot` The probability that their sum and positive difference are both multiple of 4 is `x//55 ,` then `x` equals ____.

If two different numbers are taken from the set {0,1,2,3, ,10}; then the probability that their sum as well absolute difference are both multiple of 4, is: (14)/(45) (2) 7/(55) (3) 6/(55) (4) (12)/(55)

Two integers xa n dy are chosen with replacement out of the set {0,1,,2,3 ,10}dot Then find the probability that |x-y|> 5.

R is a relation on the set A = { 1,2,3,4,6,7,8,9} given by x Ry and y=3x , then R=

If a and b are randomly chosen from the set {1,2,3,4,5,6,7,8,9} , then the probability that the expression ax^(4)+bx^(3)+(a+1)x^(2)+bx+1 has positive values for all real values of x is

If pa n dq are chosen randomly from the set {1,2,3,4,5,6,7,8,9, 10} with replacement, determine the probability that the roots of the equation x^2+p x+q=0 are real.

Two numbers are chosen from {1, 2, 3, 4, 5, 6, 7, 8} one after another without replacement. Then the probability that

A={1,2,3,4,5,6,7,8,9,10}, B={2,3,5,7}. Find A cap B

A two digit number is formed with digits 2,3,5,7,9, without repetition. What is the probability that the number formed is a multiple of 5?

How many different numbers of six digits can be formed from the digits 0,4, 5,7, 8, 9 with , repetition of digits is not allowed.

Five different digits from the set of numbers {1, 2, 3, 4, 5, 6, 7} are written in random order. Find the probability that five-digit number thus formed is divisible by 9.