/ Published in Probability

Permutations and Combinations Questions

Test you understanding of permutations and combinations with the following questions. These are multiple choice questions. Submit your answer and you will receive a score plus an explanation of the solution.
1. Given five hats, three red and two black. How many permutations are there of the five hats?
2. You have a regular pack of playing cards. You pick 5 cards at random. How many combinations are there?
3. How many \( K \) -combinations of a set of size \( 5  \) are there where \( K \) takes on the integer values in the range \( [1,5] \).