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16. From a Euchre deck of 24 cards (9, 10, J, Q, K and A in all four suits). a. How many different 5-card hands can you be dealt in euchre? b. How many 5-card hands include 1 or more spades? . What is the probability that your hand would include all four Jacks? 17. In how many ways could 12 different books be divided equally among 3 people? 18. How many different sums of money are possible with 1 nickel, 1 dime, 3 quarters, 1 loonie, and 3 toonies? Assume you can't have a sum of zero. 19. Alfonso must walk to the Barber after school according to the diagram shown and can only travel North or East. How many paths can he take to the Barber shop? [3] If Alfonso chooses his path randomly, what is the probability he runs into his friend Clemente? [1] 20. You are working at a library. You have been asked to make a display of 5 books on a single shelf in the kids' section. You must choose 3 graphic novels from the new collection of 15. You must also choose 2 junior novels from the new collection of 10. How many different arrangements of 5 books could you make on the shelf? 21. Expand and simplify (a 2b)* using the binomial theorem