7. You are selecting a 7 character password using 4 letters and 3 numbers (from 0-9), without replacement. How many ways can you arrange this password?

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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7. You are selecting a 7 character password using 4 letters and 3 numbers (from 0-9), without
replacement. How many ways can you arrange this password?
8. Marlon walks to school a different way every day. He only travels North and East, travelling
4 blocks East and 7 blocks North. How many different ways can he travel to school in
total?
9. A package of Sour Patch Kids contains 28 candies, 4 of which are defective! What is the
probability that if you choose 5 candies at random, you will get exactly 2 that are
defective?
10. An optometrist is checking the vision of students in a class at EYCI. There are 20 students
without glasses and 12 with glasses. What is the probability that if the optometrist
randomly selects 8 students, exactly 4 will have glasses?
11. You find some cards in the lost and found bin in your class, and you discover that there
are only diamonds, hearts, face cards, and 8's, but no other cards! If you are dealing a 6
card hand, how many hands contain at least 2 8's and at least 2 face cards?
12. Expand and simplify using Binomial Theorem:
G-10)
Transcribed Image Text:7. You are selecting a 7 character password using 4 letters and 3 numbers (from 0-9), without replacement. How many ways can you arrange this password? 8. Marlon walks to school a different way every day. He only travels North and East, travelling 4 blocks East and 7 blocks North. How many different ways can he travel to school in total? 9. A package of Sour Patch Kids contains 28 candies, 4 of which are defective! What is the probability that if you choose 5 candies at random, you will get exactly 2 that are defective? 10. An optometrist is checking the vision of students in a class at EYCI. There are 20 students without glasses and 12 with glasses. What is the probability that if the optometrist randomly selects 8 students, exactly 4 will have glasses? 11. You find some cards in the lost and found bin in your class, and you discover that there are only diamonds, hearts, face cards, and 8's, but no other cards! If you are dealing a 6 card hand, how many hands contain at least 2 8's and at least 2 face cards? 12. Expand and simplify using Binomial Theorem: G-10)
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