How many ways can you arrange the letters in the word 'MISSISSIPPI'?

From a group of 6 men and 4 women, how many committees of 5 people can be formed with at least 2 women?

In how many ways can 5 different books be arranged on a shelf if a particular book must always be in the middle?

A bag contains 5 red, 4 blue, and 3 green balls. How many ways can 3 balls be chosen so that at least one is red?

How many different 4-letter words can be formed (allowing repetition) from the letters of the word 'EDUCATION'?

A committee of 4 is to be formed from 8 scientists and 6 engineers. How many committees can be formed if at least one engineer must be on the committee?

How many numbers between 4000 and 5000 can be formed from the digits 1, 2, 3, 4, 5, and 6 if repetition is not allowed?

In how many ways can 10 people be seated around a circular table if two particular people must always sit together?

A box contains 7 blue and 5 green balls. Three balls are picked at random. What is the probability that all three are green?

How many different words can be formed from the letters of the word 'ARRANGEMENT' such that the two R's are never together?