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vova2212 [387]
3 years ago
11

a florist sold bouquets of red roses to 15 of the first 20 customers who came into his shop. What is the experimental probabilit

y how many bouquets of red roses should the florist express to sell on a day with 120 customers?
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
4 0
I think u have to do 120÷20=60
then 60×15=900
so he sold 900 flowers I'm not sure tho
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First of all, note that all integers are either 0,1, or 2 modulo 3 (if you're not familiar with this terminology, it means that every integer is either a multiple of 3, or it is 1 or 2 away from a multiple of 3).

So, we can think of our numbers as

\begin{array}{c|c}x&x\mod 3\\0&0\\1&1\\2&2\\3&0\\4&1\\5&2\\6&0\\7&1\\8&2\\9&0\end{array}

In order to make sure that the sum of any three adjacent numbers is divisible by 3, we have to make sure that any group of 3 three adjacent numbers contains a 0, a 1 and a 2. This is possible only if we arrange our 9 numbers in 3 groups of 3 numbers containing 0,1 and 2 exactly once, repeating always the same pattern.

For example, we could arrange our numbers following the pattern

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We have 3!=6 possible patterns. Suppose for example that we choose the pattern

0,1,2,0,1,2,0,1,2

One possible way of following this pattern would be the arrangement

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216\cdot 6 = 1296

possible arrangements.

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