List of top Mathematics Questions on Permutations asked in MHT CET

The domain of the function $f(x) = {^{7-x}\text{P}_{x-1}$ is
The feasible region for the constraints \( x - 2 \le y, x \ge y - 1, x \ge 2, y \le 4, x, y \ge 0 \), is
The domain of the function $f(x) = {^{7-x}\text{P}_{x-1}$ is
The feasible region for the constraints \( x - 2 \le y, x \ge y - 1, x \ge 2, y \le 4, x, y \ge 0 \), is
In how many ways can 5 people be arranged in a row?

Given, the function \( f(x) = \frac{a^x + a^{-x}}{2} \) (\( a > 2 \)), then \( f(x+y) + f(x-y) \) is equal to

The number of ways of distributing \( 500 \) dissimilar boxes equally among \( 50 \) persons is
For a set of five true or false questions, no student has written the all correct answers and no two students have given the same sequence of answers. The maximum number of students in the class for this to be possible is
If $\frac{n!}{2!(n-2)!}$ and $\frac{n!}{4!(n-4)!}$ are in the ratio $2:1$, then $n =$
All the letters of the word 'ABRACADABRA' are arranged in different possible ways. Then the number of such arrangements in which the vowels are together is
The number of ways in which 8 different pearls can be arranged to form a necklace is