Quiz on Types of Permutation

A teacher wants to assign 4 different tasks to her 4 students. In how many possible ways can she do it?

In a certain general assembly, three major prizes are at stake. In how many ways can the first, second, and third prizes be drawn from a box containing 120 names?

In how many different ways can 5 bicycles be parked if there are 7 available parking spaces?

How many distinguishable permutations are possible with all the letters of the word ELLIPSES?

There are 8 basketball teams competing for the top 4 standings in order to move up to the semi-finals. Find the number of possible rankings of the four top teams.

In how many different ways can 12 people occupy the 12 seats in a front row of a mini-theater?

Find the number of different ways that a family of 6 can be seated around a circular table with 6 chairs.

How many 4-digit numbers can be formed from the digits 1, 3, 5, 6, 8, and 9 if no repetition is allowed?

If there are 10 people and only 6 chairs are available, in how many ways can they be seated?

Find the number of distinguishable permutations of the digits of the number 348 838.