Question

One day while waiting for his pizza to be baked, he grabbed and read the pocket menu. Curious enough, he noticed a bold claim that there were 1,023 possible combinations for their pizzas. With 20 minutes to kill, he decided to verify their claim. On a spare napkin, he began to scratch out his calculations, but the number he found was different from the restaurants'. He later said: “Reading their claim again, I noticed yet another error.”

Discover the correct number of combinations for their pizza (see menu below) and show your calculations with clear explanations. Then find the following using the same menu.

1. What was the other mistake on the menu?

2. If a topping can be used only once, how many possible combinations are there?

3. If you had ordered pizza there every week for a year (52 weeks) and they randomly chose the toppings, what is the probability that you would get the same topping at least one more time?

e Olde Pizza Joynt Family Owned Since 1958 POCKET MENU Ye Olde CALL AHEAD FOR PIZZAS TO GO Pizza Joynt 785-1866 Family Owned Since 1958 9510 HESPERIAN BLVD. HAYWARD, CA 94541 BELEIVE IT OR NOT THERE ARE 1023 POSSIBLE COMBINATIONS Featuring The Mighty Wurlitzer Theatre Pipe Organ Wed, thru Sun Evenings FOUR VARIETIES OF THE FINEST CHEESE IN EVERY PIZZA ITEMS Cheese only Fresh Mushrooms Sausage Linguisa Beef & Onion Pepperoni Salami Olve Ham Artichoke Hearts Ham & Pineapple SMALL MEDIUM LARGE $8.22 9.25 9.25 9.25 9.25 9.25 9.25 925 9.25 9.25 10.09 $4.49 5.06 5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.47 $6.57 7.24 7-24 7.24 7.24 7 24 7 24 7.24 7.24 7.24 7.90 CREATE YOUR OWN Your choice of any 2 tems Your choice ol any 3 tems Your choice of any 4 items Confusion: our blend of 7 tems All Meat 5.477.90 8.41 8.97 8.97 .35 5.84 6.22 6.22 6.49 0.09 10.84 11.50 1.50 1.97 Extra Portion Salad Bar .47 .70 1.68 94 Prices subject to change Plus Tax

Answer 1