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AlexFokin [52]
3 years ago
8

How many different menus can be made showing 5 main courses from 15 choices?

Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

Answer:

3,003 different menus can be made showing 5 main courses from 15 choices

Step-by-step explanation:

we need to find how many different menus can be made showing 5 main courses from 15 choices

Total of 15 choices

5 to be selected from 15 choice

'r' is selected from n choices in nCr ways

nCr= \frac{n!}{r!(n-r)!}

Here 5 is selected from 15 in 15C5 ways

15C5= \frac{15!}{5!(15-5)!}\\15C5= \frac{15!}{5!(10)!}=3003

So 3,003 different menus can be made showing 5 main courses from 15 choices

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Answer:

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Explanation:

The figure is not a regular hexagon. It is an irregular hexagon.

Please, find attached the picture with the original question and the figure.

You can split the figure into two triangles and one rectangle.

The rectangle has dimensions: 7units × 4units, thus its area is 28 units².

Both the upper triangle and lower triangle have base 7 units and height 2 units.

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