Show the correct notations for the following:

1,) How many ways can you arrange 8 books on a shelf?

2.) There are 15 officers for Mu Alpha Theta. In how many ways can you pick a president, vice president, secretary, and treasure?

3.) There are 60 songs on a playlist. You like 45 of the songs. What is the probability that you like the next 5 songs that play?

4.) What is the probability that you get four of the same suit when dealt cards from a standard deck?

5.) What is the probability that you win the lottery when you choose 5 numbers from 45 possible numbers? ( The order you pick the numbers does not matter. )

Which Mexican fast food do students at your school prefer? 54% of students randomly selected prefer Chipotle, 37% prefer Tijuana Flats, and 13% prefer both equally.

1.) Draw a Venn diagram to model the probability of these events.

2.) Draw a two-way table to model the probability of these two events.

A student is selected at random. Find the probability of each event for the following:

3.) The student prefers only Chipotle.

4.) The student prefers Chipotle or Tijuana Flats.

5.) The student does not prefer Chipotle or does prefer Tijuana Flats.