Q1:

There are 15 professors, 4 head of department and one vice principal out of which 1 dean is to be selected. In how many ways selection can be done?

Q2:

In how many ways four chocolates can be distributed among 3 children such that each child gets different chocolates?

Q3:

In how many ways 4 students of standard 2, 3 students of standard 3 and 5 students of standard 1 can stand in a row such that students of same standard are always together.

Q4:

How many distinct lines can be drawn through 7 points, if no 3 points are collinear?

Q5:

In how many ways can the letters of word “WORKBOOK” be arranged so that the vowels are always together?

Q6:

In how many ways 8 persons be seated around a circular table having 8 seats?

Q7:

If ^{(n + 1)}P₄ : ⁿP₄ = 5 : 4. Then find the value of n.

Q8:

The two ‘I’ are never together.

Q9:

All vowels are together.

Q10:

Find the total numbers of words starting and ending with vowel.

Q11:

Number of five letter words that can be formed without any repetition

Q12:

Find the number of ways in which 4 couples can be arranged in a straight line such that the male and female occupy alternate positions ?

Q13:

Find the number of ways in which 4 couples can be arranged in a straight line such that no two females are sitting together.

Q14:

In Asia cup 2018 cricket tournament five teams participated. If each team played one match to every other team, find the number of matches played.

Q15:

In every team, a captain can be selected in 11 ways.

In how many ways a team of 11 player can be selected out of 17 players, where a captain is always selected and a stand by player is never selected?