Permutations and Combinations Easy Level

A committee of 2 men and 3 women is to be chosen from 5 men and 6 women. In how many ways can this be done?

A group of 4 is chosen from 6 men and 4 women. In how many ways can it have exactly 2 women?

A person has 5 shirts, 4 trousers and 3 ties. How many different outfits of one of each can be made?

There are 3 roads from A to B and 4 roads from B to C. In how many ways can one go from A to C and back to A without using any road twice?

In how many ways can 3 boys and 2 girls stand in a row if the two girls must be together?

In how many ways can 3 boys and 2 girls stand in a row if the girls are not next to each other?

How many even 4-digit numbers can be formed with the digits 1, 2, 3, 4, 5 without repetition?

How many 3-digit numbers have all three digits different?

From 5 vowels and 8 consonants, in how many ways can a set of 2 vowels and 3 consonants be selected?

In how many ways can 4 different prizes be given to 3 students if a student may win any number of prizes?