Here are 2 problems I am currently stuck on.
A) In the card game for bridge, 2 cards are dealt to 4 people who are called North, South, East and West. A 52 letter "word" consisting of 13 N's, 13 S's, 13 E's and 12 W's will tell you who has what card. For example, if a word begins with NEEWS...., the North has the ace of spades, East has the 2 and 3 of spades, West has the 4 of spades, South has the 5 of spades and so on. How many such arrangements are there?
B) A group of 12 friends goes to a cinema complex that is showing 6 different movies. If the group splits into subgroups, how many subgroup combinations are possible. FOR THIS PROBLEM A HINT WAS GIVEN: You can form words that use 12 x's to tally the groups and lines to separate the x's into the 12 movies. I AM NOT ALLOWED TO USE THE FORMULA (n+r -1)C(n).