MATH140_01_Final_Spring2021 - CUNY Hunter College MATH 14000

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Name: Student ID: [Q1] [20 points] You must show every step of your computation. Credits will not be given if you write just answers. Sinplify your final answers. (A) How many lists of length 4 can... be made from the digits 1, 2, 3, 4, 5, 6, 7 if repetition is allowed? (B) How many lists of length 5 can be made from the digits 1, 2, 3, 4, 5, 6, 7 if repetition is not allowed? (C) How many lists of length 3 can be made from the digits 1, 2, 3, 4, 5, 6, 7 if repetition is not allowed and the list must contain the digit 5? (D) Suppose you need to choose 3 people from a group of 8 people to go on a trip to Hawaii. How many possibilities of different groups are there? (E) Suppose you are forming a 5-person committee from a group of 4 math student, 5 chemistry students, and 7 physics students. How many possibilities are there if your committee needs to have exactly 2 math students, 1 chemistry student, and 2 physics students [Show More]

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