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A college has 3 entrance gates and 2 exit gates. In how many ways can a student enter then leave the building ?

A college has 3 entrance gates and 2 exit gates. In how many ways can a student enter then leave the building ?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1. Show by tree diagram how many meals consisting of fruit, a sandwich and a drink are possible if one can select from 3 kinds of fruits (mango, banana, papaya) 3 kinds of sandwiches (egg, cheese, tuna) and 3 kinds of drinks ( coffee, milk, juice). 2. Considers the number 0, 3, 5, 6 and 8. How many two-digit numbers can be formed such that a. they are all even? b. they are all odd? c. they are greater than 50? 3. A college has 3 entrance gates and 2 exit gates. In how many ways can a student enter then leave the building ? 4. How many possible outcomes are there if a pair of dice is rolled? Use the tree diagram to illustrate this? 5. How many nonsense words of 3 letters can be formed from the letters c, d, e, f and g if a. repetition of letters is allowed? b. repetition of letters is not allowed?
Transcribed Image Text:1. Show by tree diagram how many meals consisting of fruit, a sandwich and a drink are possible if one can select from 3 kinds of fruits (mango, banana, papaya) 3 kinds of sandwiches (egg, cheese, tuna) and 3 kinds of drinks ( coffee, milk, juice). 2. Considers the number 0, 3, 5, 6 and 8. How many two-digit numbers can be formed such that a. they are all even? b. they are all odd? c. they are greater than 50? 3. A college has 3 entrance gates and 2 exit gates. In how many ways can a student enter then leave the building ? 4. How many possible outcomes are there if a pair of dice is rolled? Use the tree diagram to illustrate this? 5. How many nonsense words of 3 letters can be formed from the letters c, d, e, f and g if a. repetition of letters is allowed? b. repetition of letters is not allowed?
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