of cookies. To thank your math professor for doing such an amazing job all semester, you decide to bake your professor cookies. You know how to make 14 different types a. If you want to give your professor 8 different types of cookies, how many different combinations of cookie type can you select? Explain your answer. b. To keep things interesting, you decide to make a different number of each type of cookie. If again you want to select 8 cookie types, how many ways can you select the cookie types and decide for which there will be the most, second most, etc. Explain your answer. c. You change your mind again. This time you decide you will make a total of 22 cookies. Each cookie could be any one of the 14 types of cookies you know how to bake (and it's okay if you leave some types out). How many choices do you have? Explain. d. You realize that the previous plan did not account for presentation. This time, you once again want to make 22 cookies, each one could be any one of the 14 types of cookies. However, now you plan to shape the cookies into the numerals 1, 2, ..., 22. How many choices do you have for which types of cookies to bake into which numerals? Explain.
of cookies. To thank your math professor for doing such an amazing job all semester, you decide to bake your professor cookies. You know how to make 14 different types a. If you want to give your professor 8 different types of cookies, how many different combinations of cookie type can you select? Explain your answer. b. To keep things interesting, you decide to make a different number of each type of cookie. If again you want to select 8 cookie types, how many ways can you select the cookie types and decide for which there will be the most, second most, etc. Explain your answer. c. You change your mind again. This time you decide you will make a total of 22 cookies. Each cookie could be any one of the 14 types of cookies you know how to bake (and it's okay if you leave some types out). How many choices do you have? Explain. d. You realize that the previous plan did not account for presentation. This time, you once again want to make 22 cookies, each one could be any one of the 14 types of cookies. However, now you plan to shape the cookies into the numerals 1, 2, ..., 22. How many choices do you have for which types of cookies to bake into which numerals? Explain.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:d. You realize that the previous plan did not account for presentation. This time, you
once again want to make 22 cookies, each one could be any one of the 14 types of
cookies. However, now you plan to shape the cookies into the numerals 1, 2, ...,
22. How many
choices do you have for which types of cookies to bake into which
numerals? Explain.
B
e. The only flaw with the last plan is that your professor might not get to sample all
14 different varieties of cookies. How many choices do you have for which types
of cookies to make into which numerals, given that each type of cookie should be
present at least once? Explain.
Transcribed Image Text:To thank your math professor for doing such an amazing job all semester, you decide
to bake your professor cookies. You know how to make 14 different types of cookies.
a. If you want to give your professor 8 different types of cookies, how many
different combinations of cookie type can you select? Explain your answer.
GI
b. To keep things interesting, you decide to make a different number of each type of
cookie. If again you want to select 8 cookie types, how many ways can you select
the cookie types and decide for which there will be the most, second most, etc.
Explain your answer.
c. You change your mind again. This time you decide you will make a total of 22
cookies. Each cookie could be any one of the 14 types of cookies you know how
to bake (and it's okay if you leave some types out). How many choices do you
have? Explain.
d. You realize that the previous plan did not account for presentation. This time, you
once again want to make 22 cookies, each one could be any one of the 14 types of
cookies. However, now you plan to shape the cookies into the numerals 1, 2, ...,
22. How many choices do you have for which types of cookies to bake into which
numerals? Explain.
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