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Studentka2010 [4]
2 years ago
5

I have four identical oranges. How many ways are there for me to divide these oranges into at most three groups?

Mathematics
1 answer:
Alina [70]2 years ago
5 0

Answer:

"At most" connotes 1, 2 or 3 groups

For one group = one way....all of them together

For two groups.....2 + 2  or 3 + 1  = two ways   ...{the oranges are indistinguishable, so 1 + 3 is the same grouping as 3 + 1 }

For 3 groups = 1 + 1 + 2  = one way   {again, they are indistinguishable}

So ….. four ways.....

Step-by-step explanation:

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\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}

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