There are 7 friends who decided to go to Sampaloc Lake for a ride. However, there are only 4 available bikes. While waiting, they take a picture in a row as souvenir. They also buy food from the stalls. They have 3 choices such as ihaw-ihaw, kwek-kwek, and hotdog on sticks and 2 kinds of beverages (buko juice and palamig). While eating, they sit on the view deck in a circular form, having so much fun. They play a game of arranging all letters found in “Sampaloc Lake” like in the SAMPALOC LAKe and get a new name related to it such as CLAKE, a barnacle goose. a. Illustrate the possible ways of pairing the food with beverages by using a tree diagram, systematic listing, and a table. b. Using the letters in SAMPALOC LAKE, how many distinguishable permutations are there?

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There are 7 friends who decided to go to Sampaloc Lake for a ride. However, there are only 4 available bikes. While waiting, they take a picture in a row as souvenir. They also buy food from the stalls. They have 3 choices such as ihaw-ihaw, kwek-kwek, and hotdog on sticks and 2 kinds of beverages (buko juice and palamig). While eating, they sit on the view deck in a circular form, having so much fun. They play a game of arranging all letters found in “Sampaloc Lake” like in the SAMPALOC LAKe and get a new name related to it such as CLAKE, a barnacle goose.

a. Illustrate the possible ways of pairing the food with beverages by using a tree diagram, systematic listing, and a table.

b. Using the letters in SAMPALOC LAKE, how many distinguishable permutations are there?

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