How many ways can nine different books be arranged on a shelf? This type of problem is simply the number of items factorial. There are _____ ways to arrange the books.

Bob owns 10 different books. He wants to pick out and around 8 of these books left to right on a single bookshelf. How many distinguishable ways can Bob do this? A. 1,814,400 B. 1, 814,500 C. 1,814, 600 D. 1,814,700

For a Halloween party, each guest can choose from the 6 different kinds of candy to have in a prize bag. If any number of candy types can be chosen, how many candy type combinations are possible?

How many ways can 10 people line up if Joey S and Sally cannot be next to each other? If the same group of 10 people sat at a circular table, how many seating arrangements are there? (Note the restriction that Joey and Sally cannot be next to each other does not apply to this part of the question). How many even factors does the number 3809.975 A cookie

Jay has 11 stat books.In how many different ways can he arrange 4 of them on a bookshelf?   _________ ways

a. A teacher creating a quiz has to decide how to order the problems—if there are tenproblems, how many different ways can they be ordered?b. How many ways can the problems be ordered if the teacher decides to put the one essay question either first or last?c. If it's decided the test is too long, how many ways could the teacher choose 8 of the problems to create a shorter quiz?

How many ways to arrange a 4-digit number, provided that the said number must be even and there are no repeated digits?