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sladkih [1.3K]
3 years ago
12

Calculate the number of ways to form a set of three distinct items such that no two of the selected items are in the same row or

same column
Mathematics
1 answer:
Eddi Din [679]3 years ago
8 0

Answer:

1200

Explanation:

Order does not matter, if we said xyz order, it would still not make a difference if it was zyx or yzx hence we use the combination formula:

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

where n= total number of items

r= number of items chosen at a time

Combinations are used when the order of events do not matter in calculating the outcome.

We calculate using the formula:

(30×20×12)÷3!=1200

There are therefore 1200 ways for the three distinct items to not be in same row or column

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rjkz [21]

Step-by-step explanation:

Since

\frac{108}{72}  =  \frac{3}{2}

\frac{72}{48}  =  \frac{3}{2}

\frac{48}{32}  =  \frac{3}{2}

The function has a constant factor so we have a exponential function.

The equation of a exponential function is

y = a(b) {}^{x}

Where a is the initial value and b is the growth factor

The growth factor is 3/2,

The initial value in 32

y =  32 ( \frac{3}{2} ) {}^{x}

Plug in 4 for x.

You will get 162

Plug in 5 for x you will get

243.

2013- 162

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8 0
2 years ago
In the table below, y varies inversely as x. What is the missing value?
Minchanka [31]

Answer:

<h2>The value of y is <u>0.5</u>, so the answer is <u>C</u>.</h2>

Step-by-step explanation:

Find first the constant of variation.

Given: x = 3, y = 4

Find: k = ?

Formula:

y =  \frac{k}{x}

Solution:

y =  \frac{k}{x}  \\ 4 =  \frac{k}{3}  \\ 12 = k

Then, find the value of y in the third box.

Given: x = 24, k = 12

Find: y = ?

Formula:

y =  \frac{k}{x}

Solution:

y =  \frac{k}{x}  \\ y =   \frac{12}{24} \\ y =  \frac{1}{2} \\\boxed{y = 0.5}

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2 years ago
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Answer:

Positive-Real

Zero-Complex

Negative-Real

Really hope this is right

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11 inches / 2.5 = 4.4

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2 years ago
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Answer:

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Step-by-step explanation:

99 divided by 2

6 0
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