Discrete Mathem...

If g(x) = 1 – x and \(h\left( x \right) = \frac{x}{{x - 1}},\;\) then \(\frac{{g\left( {h\left( x \right)} \right)}}{{h\left( {g\left( x \right)} \right)}}\) is:

What is the maximum cardinality of a relation R on a set S = {a, b, c, d} such that relation R is Anti-symmetric?

For a set X, the power set of X is denoted by 2X. If A = {a, {b}, {c}}, which of the following options is/are CORRECT?

Number of relations on a set A which are neither reflexive nor irreflexive are:

If relation ‘R’ on a set ‘Z’ is given as R = {(x, y) ϵ Z × Z and y > x)} then R is

The function f : [0, 3] → [1, 29] defined by f(x)→2x³ – 15x² + 36x + 1 where x is an integer is

Let X and Y denote the sets containing {a, b, c} and {0,1, 2, 3, …7} distinct objects respectively and G denote the set of all possible functions defined from set Y to set X. Let g be randomly selected function from G. What is the probability of g being onto is _____. (answer upto 3 decimal places)

Let A = {a, b , c , d} and a relation on set A is defined as R = {(a, a), (b, a), (b, b), (b, c), (b, d), (c, a), (c, b), (c, c), (c, d)}. Which of the following is true?

Let P denote the set of all functions f: {a, b, c, d}¹⁶ → {1, 2}. Find the value of log₂log₂log₂n where n denotes the number of functions from P to {1, 2}?