Counting and Probability Problems he following five problems have the same mathe

Question

Counting and Probability Problems he following five problems have the same mathematical structure. nd thus the same answer. The other is different. Tell whiclh ame and describe why they are the same and the other is differ NOT need to solve the problens. ent. You do (a) At Joe's Deluxe Pizza Shop, there are 26 possible toppings one can pu on a pizza. If we different pizzas can we choose from with the coupon? have a coupon for a two-topping pizza, how many (b) There are 26 dots spread around on a circle. If each dot is connec to each other dot (except itself) by a line segment, how many line segments will there be inside the circle? (c) There are 26 people in a room. If each person shakes hands with each other person, how many handshakes will take place? (d) There are 52 kids in a class: 26 boys and 26 girls. At a dance party, a song is played while each girl dances with a boy. Then, at the end of each song, some of the students switch to a new partner, producing a different matching of girls and boys. If the party will last until all possible matchings of boys and girls are made, how many songs must be played? (e) There are 26 teams in a round-robin tournament. That is, each team in the tournament? 6 At one point, Greasy's Pizza Sho n ouluul 1

Explanation / Answer

a) ,b) c) and e) have same answer

26C2 ,we have select two combination out of 26

d) is different

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