Mathematics Tes...

If there are n elements in a set A then the elements present in power set are?

There are 20 cricket players, out of which 5 players can bowl. In how many ways can a team of 11 players be selected so, to include 4 bowlers?

Find the value of x where${}^{\mathrm{x}}{\mathrm{P}}_3{=}^{(2\mathrm{x}-1)}{\mathrm{P}}_2,\mathrm{x}\ge 3,\mathrm{x}\in \mathrm{N}$.

A bag contains 7 red and 4 blue balls. Two balls are drawn at random with replacement. The probability of getting the balls of different colours is:

Consider the following in respect of the function f(x) = |x - 3| :

1. f(x) is continuous at x = 3

2. f(x) is differentiable at x = 0.

Which of the above statements is/are correct?

In a class of 60 students, 40 opted for NCC, 30 opted for NSS and 20 opted for both NCC and NSS. If one of these students is selected at random, then the probability that the students selected has opted neither for NCC nor for NSS is:

What is the degree of the differential equation \(\frac{\mathrm{d}^{3} \mathrm{y}}{\mathrm{dx}^{3}}+2\left(\frac{\mathrm{d}^{2} \mathrm{y}}{\mathrm{dx}^{2}}\right)-\frac{\mathrm{dy}}{\mathrm{dx}}+\mathrm{y}=0 ?\)