1. The favorite colors of Ann, Lita, Alvin, and Johnny are red, blue, green, and orange, but not necessarily in that order. No person's name contains the same number of letters as his or her favorite color. Alvin and the boy who likes blue live in different parts of town. Red is the favorite color of one of the girls. What is each person's favorite color?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 8ECP: In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The...
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1. The favorite colors of Ann, Lita, Alvin, and Johnny are red, blue, green, and orange, but not
necessarily in that order. No person's name contains the same number of letters as his or her
favorite color. Alvin and the boy who likes blue live in different parts of town. Red is the favorite
color of one of the girls. What is each person's favorite color?
2. How many gifts in all did the "true love" send to his lover in the song Twelve Days of Christmas?
3. In a math contest, every participant shook hands with every other participant. How many
handshakes took place if there were 25 participants?
4. Iam thinking of a two-digit number. It is odd. Its tens digit is even. It is prime. The sum of its digit
is 11. The product of its digits is 24. What number am I thinking of?
5. Natural numbers are arranged in a triangular shape as shown below. If the pattern continues,
what is the 10th number in the 50th row?
2 3 4
5 6 7 8 9
Transcribed Image Text:1. The favorite colors of Ann, Lita, Alvin, and Johnny are red, blue, green, and orange, but not necessarily in that order. No person's name contains the same number of letters as his or her favorite color. Alvin and the boy who likes blue live in different parts of town. Red is the favorite color of one of the girls. What is each person's favorite color? 2. How many gifts in all did the "true love" send to his lover in the song Twelve Days of Christmas? 3. In a math contest, every participant shook hands with every other participant. How many handshakes took place if there were 25 participants? 4. Iam thinking of a two-digit number. It is odd. Its tens digit is even. It is prime. The sum of its digit is 11. The product of its digits is 24. What number am I thinking of? 5. Natural numbers are arranged in a triangular shape as shown below. If the pattern continues, what is the 10th number in the 50th row? 2 3 4 5 6 7 8 9
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