20. Using divisibility tests, answer each of the following: a. There are 1379 children signed up to play in a baseball league. If exactly 9 players are to be placed on each team, will any team be short of players? b. There are 261 students to be assigned to 3 middle school teams so that each team has the same number of students. Is this possible?

If there are 11 employees in a club, in how many ways can they choose a dishwasher and a bouncer?

2.Find the number of 6-letter words that use letters from {A,B,C,D,E}   in which no 5 consecutive letters are all the same. (Hint. First count the words that you don'twant to include.)

A standard-issue 2020 New Jersey license plate had one letter, then two digits, followed by three letters. New Jersey DOO SPA Garden State These plates were not allowed to have letters D, T, or X in the fourth position, or the letters I, O, or Q in any position. With these restrictions, how many different license plates were possible in 2020?