How many twelve person juries can be formed from fifteen possible candidates?

Question

How many different ways can twelve questions on a true-false test be answered if a student answers every question?

How many ways can six different books be arranged on a shelf?

How many ways can five students sit in a row of eight chairs for a photograph?

How many ways can you order a hamburger if you can order it with or without the following items: cheese, lettuce, tomatoes, pickles or onions?

How many different student body officers are possible if there are four seniors, five juniors, and three sophomores running for the student body offices: senior class president, junior class president, and sophmore class president?

Find the probability of selecting a green marble from a jar that contains four blue marbles, three red marbles, and five green marbles.

Find the probability of rolling a prime number when a die is rolled.

Find the odds in favor of getting all heads on three coin tosses.

Answer 1

There are C(12,15) = 15!/(12!3!) = 455 ways to choose a jury of 12 from 15 .

Any more and I'd be doing your homework for you.

Answer 2

You need a stiff drink