List of top Mathematics Questions on Permutation and Combination asked in MAH MBA CET

In how many ways can the word ‘ESPECIALLY’ be arranged such that the vowels always come together?
What shall be the arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in 1421 including itself?
How many four digit numbers, which are divisible by 6, can be formed using the digits 0, 2, 3, 4, 6, such that no digit is used more than once and 0 does not occur in the left-most position?
There are 6 boxes numbered 1, 2, 3, 4, 5, 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is:
In how many ways can the letters of the word MATHEMATICS be arranged so that all the vowels always come together?
From a group of 7 men and 6 women, 5 persons are to be selected so that at least 3 men are on the committee. In how many ways can this be done?
There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or person 2. Task 2 must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done?