SOLUTION: How many distinguishable way can these letters "unoppolati" be arranged? Is there one arrangement that spells a term that we used throughout this course? what is the probability of

Question 1142237: How many distinguishable way can these letters "unoppolati" be arranged? Is there one arrangement that spells a term that we used throughout this course? what is the probability of getting that arrangement?
2) A charity organization is selling $5 raffle tickets as part of a fund raiser program. The first prize is a trip to Mexico valued at $3450 and second prize a weekend spa package valued at $750. THE remaining 20 prizes are $25 gas cards. The number of tickets sold is 6000. what is the expected value of your gain?
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
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The number of distinguishable arrangements is   = 907200.


Here 10 is the number of letters in the given word;  2! is to account for 2 identical letters "o"


and the other 2! is to account for 2 identical letters "p".



    The "magic" word is "population", I think.



The probability to get this arrangement among all other distinguishable arrangements is  .


The probability to have the relevant permutation among all possible permutations is the same value  .

Regarding the other problem, there is a rule in this forum, that each post can carry ONE and ONLY ONE PROBLEM.

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To see other solved problems on distinguishable arrangements/permutations, look into the lesson
- Arranging elements of sets containing indistinguishable elements
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 lesson is 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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