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Arturiano [62]
3 years ago
11

How many different menus showing 10 main courses can a restaurant make if it has 15 main courses from which to choose?

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0
The number of ways or different menus containing 10 main courses that the restaurant can make out of the 15 main courses is calculated through the combination. 

                     15C10

This is read as "combination of 15 taken 10" which can be calculated through the equation,

                     nCr = n! / ((r!) x(n - r)!) 

In this item, n is equal to 15 and r is equal to 10. 

Substituting the known values to the equation above, 


                    15C10 = 15! / (10!)x(10 - 5)! = 3003

Thus, there are 3003 different menus that the restaurant can choose from. 
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\huge\text{Hey there!}

\huge\text{7*(-3) * (-2)(2) = ?}

\huge\text{7 * (-3) = -21}

\huge\text{-21 * (-2)2 = ?}

\huge\text{-21 * -2 = 42}

\huge\text{42(2) = ?}

\huge\text{42 * 2 = 42 + 42 = 84}

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7 0
3 years ago
Do I need to put parentheses in this? Why it why not?
Oksana_A [137]

Answer:

Parentheses can change the result of the answer. If you want to add 4 and 0.95 first, then multiply that number by 3, then you need parentheses.

Step-by-step explanation:

When you are given the question 3 X 4 + 0.95, it has to types of operations. <u>People solve using the order PEDMAS</u>:

Parentheses,

Exponents,

Division and Multiplication,

Addition and Subtraction.

Since there are <u>no parentheses</u> or exponents, the solver will do multiplication first, then addition.

3 X 4 + 0.95     Multiply first

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If you add <u>parentheses around 4 + 0.95</u>, the answer would change. According to PEDMAS, the parentheses must be solved before anything else.

3 X (4 + 0.95)       Add inside parentheses

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If you added <u>parentheses around 3 X 4</u>, the answer would not change, because you still multiply first.

(3 X 4) + 0.95      Solving parentheses first

= 12 + 0.95       Add

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astraxan [27]

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777dan777 [17]
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Degger [83]

Answer:

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Step-by-step explanation:

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Divide both sides by 9

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