Hello.. I have an assignment and I hope that you guys can help me a little bit if you dont mind. Basically all of the questions are related to counting. Any help would be appreciated. Even if you guys can just clarify or explain the question to me without solving that would be super. Thanks in advance. Q1: In poker, a flush is a 5-card hand where all the cards have the same suit. Recall that a deck of cards has 52

cards. There are 4 suits (hearts, clubs, diamonds and spades) and each suit has 13 cards. How many different

flush hands can you have?

Q2:

How many 12 letter strings are there that contain at least 3 vowels (a vowel is one of {a,e,i,o,u})?

Q3: How many bit strings of length 14 contain 7 consecutive 1’s or 7 consecutive 0’s?