Discrete math -

1. (a) How many license plates can a state produce if the plates can contain 6 characters (from 26 letters and 10 digits) if they can only use one digit? (b) How many ways can Mr. Paul choose 6 students from a class of 15 Boys and 12 Girls, if he must choose at least 5 boys? (c) How many orderings are there of the letters of the word STRAWBERRYALARMCLOCK ? (d) How many ways can I seat 12 people around a circular table, if a certain pair of people cannot sit next to one another? (e) How many ways can I fill a box of 50 chocolates from 10 types if I must have at least 1 of each type in the box? 3. (a) For a collection of 80 coins, if 53 are quarters, 15 are quarters from the 1... click for more

Discrete math

there were a total of 20 problems i have done all except for the ones i have attached (6)

Equivalence classes

Please look at the attached txt file

Equivalence relation and Classes

Please look at the attached file

Prove algebrically an equation

(A union B)* = (A*B*)* = (A* union B*)*