Question 1151587: A gardener wishes to landscape a piece property by planting flowers across the front and back
of the house. From a box containing 3 tulip bulbs, 4 daffodil bulbs, 3 hyacinth bulbs he selects
at random to be planted at the front of the house, and the remaining 5 are planted at the rear
of the house. What is the probability that 1 tulip plant, 2 daffodil plants, and 2 hyacinth plants
bloom at the front of the house?
Answer by ikleyn(52894)   (Show Source):
You can put this solution on YOUR website! .
A gardener wishes to landscape a piece property by planting flowers across the front and back
of the house. From a box containing 3 tulip bulbs, 4 daffodil bulbs, 3 hyacinth bulbs he selects 
at random to be planted at the front of the house, and the remaining 5  to be planted at the rear
of the house. What is the probability that 1 tulip plant, 2 daffodil plants, and 2 hyacinth plants
bloom  at the front of the house?
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Please pay attention on how nicely I edited your post to make sense where it was lost (!)
It is very standard problem on combinations.
The number of all favorable combinations is  . . = 3*6*3 = 54.
The number of all possible sets of 5 flowers randomly selected from 10 flowers is
 =  = 252.
Therefore, the probability under the problem's question is P =  =  =  . ANSWER
Solved.
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If you need to develop, or to refresh, or to make wider your knowledge in Combinations, you can do it by looking into the lessons
- Introduction to Combinations
- PROOF of the formula on the number of Combinations
- Problems on Combinations
- 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.
Or, for relevant introductory problems on Probability, see the lessons
- Simple and simplest probability problems
- Elementary Probability problems related to combinations
in this site from the same online textbook under the topic "Solved problems on Probability".
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