Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate notation: ( ) 14.) An elementary school teacher allows her class to vote for 2 pets to be cared for and studied during the school year. The choices are guinea pigs, fish, or turtles. Each student may vote for 2 pets out of the 3 choices, and repetition is allowed. How many distinct 2 pet votes are possible?

Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate notation: ( ) 14.) An elementary school teacher allows her class to vote for 2 pets to be cared for and studied during the school year. The choices are guinea pigs, fish, or turtles. Each student may vote for 2 pets out of the 3 choices, and repetition is allowed. How many distinct 2 pet votes are possible?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.6: Permutations

Problem 34E

See similar textbooks

Similar questions

Alice and Bill have four grandchild, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?
Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?
In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The order of the two letters is not important.)
DISCUSS: Complementary Combinations Without performing any calculations, explain in words Why the number of ways of choosing two objects from ten objects is the same as the number of ways of choosing eight Objects from ten objects. In explain Why c(n,r)=c(n,nr)