1. How many arrangements could be made of the word GRATEFUL if: o there are no restrictions? o the first letter is a vowel and the last letter is a consonant? o the first three letters are vowels? 1. Jessie starts from home and walks three (3) blocks north and five (5) blocks east to the library. From the library, she travels four (4) blocks north and seven (7) blocks east to the pizzeria. o How many different routes can Jessie take to go from home to the library if she is always moving closer to the library? o How many different routes can Jessie take to go from home to the pizzeria if she is always moving closer to the pizzeria? 1. A teacher must select five (5) students to attend a conference. She has 11 males and 13 females to choose from. Determine the number of way of selecting: o a group of five with no restrictions o exactly 3 females o at least 4 males o at most 3 females
1. How many arrangements could be made of the word GRATEFUL if: o there are no restrictions? o the first letter is a vowel and the last letter is a consonant? o the first three letters are vowels? 1. Jessie starts from home and walks three (3) blocks north and five (5) blocks east to the library. From the library, she travels four (4) blocks north and seven (7) blocks east to the pizzeria. o How many different routes can Jessie take to go from home to the library if she is always moving closer to the library? o How many different routes can Jessie take to go from home to the pizzeria if she is always moving closer to the pizzeria? 1. A teacher must select five (5) students to attend a conference. She has 11 males and 13 females to choose from. Determine the number of way of selecting: o a group of five with no restrictions o exactly 3 females o at least 4 males o at most 3 females
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Transcribed Image Text:1. How many arrangements could be made of the word GRATEFUL if:
o there are no restrictions?
o the first letter is a vowel and the last letter is a consonant?
o the first three letters are vowels?
1. Jessie starts from home and walks three (3) blocks north and five (5) blocks
east to the library. From the library, she travels four (4) blocks north and seven
(7) blocks east to the pizzeria.
o How many different routes can Jessie take to go from home to the
library if she is always moving closer to the library?
o How many different routes can Jessie take to go from home to the
pizzeria if she is always moving closer to the pizzeria?
1. A teacher must select five (5) students to attend a conference. She has 11
males and 13 females to choose from. Determine the number of way of
selecting:
o a group of five with no restrictions
o exactly 3 females
o at least 4 males
o at most 3 females
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