There are 7 friends who decided to go to sampaloc lake for a ride, however, there are only 4 availble 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, queck queck, 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 SAMPALOC LAKE and get a new name related to it such as CLAKE, barnacle goose. 1. illustrate the possible ways of pairing the food with beverage by using a tree diagram sytamatic listing and table.
2. in how many different ways can they arrange to give everybody a chance to experience the ride?
3. in how many ways can they arrange to give everybody a chance to experience the ride?
4.in how many ways can they be seated on the view deck?
5. using the letters in SAMPALOC LAKE, how many distinguishable permutations are there?​