SOLUTION: Mimi has eight books from the Statistics is Fun series. She plans on bringing two of the eight books with her in a road trip. (Show all work. Just the answer, without supporting wo
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Question 1132180: Mimi has eight books from the Statistics is Fun series. She plans on bringing two of the eight books with her in a road trip. (Show all work. Just the answer, without supporting work, will receive no credit).
(a) Does the order matter in the book selection?
(b) Based on your answer to part (a), should you use permutation or combination to find the number of the different ways the two books can be selected?
(c) How many different ways can the two books be selected?
Found 2 solutions by addingup, ikleyn:
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
a) order doesn't matter
b) Combination
c) 28 ways
.
Pick 2 out of 8, order doesn't matter:
8C2 = nCr = n!/[(r)!(n-r)! = 8!/[(2)!(8-2)! = 40320/1440 = 28 ways
.
.
NOTE: permutation is when order matters. So, you know when we say "it's a combination lock"? Well, statistically it's a permutation lock because you have to enter the numbers in a specific sequence.
Answer by ikleyn(52800) (Show Source): You can put this solution on YOUR website!
.
On Combinations and Permutations, see the lessons
- Introduction to Permutations
- PROOF of the formula on the number of Permutations
- Problems on Permutations
- Introduction to Combinations
- PROOF of the formula on the number of Combinations
- Problems on Combinations
- Miscellaneous problems on permutations, combinations and other combinatoric entities
- OVERVIEW of lessons on Permutations and Combinations
in this site.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Combinatorics: Combinations and permutations".
Save the link to this textbook together with its description
Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson
into your archive and use when it is needed.
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