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Firlakuza [10]
2 years ago
12

ing Combination Notation & Problem Solving" alt="Evaluating Combination Notation & Problem Solving" align="absmiddle" class="latex-formula">
Evaluate the following combinations. Write also your solutions.​

Mathematics
1 answer:
Oduvanchick [21]2 years ago
7 0

Answer:

Step-by-step explanation:

1. ⁷C₅ = ⁷C₂ = 7 x 6 / 2 = 21

2. ⁹C₈ = ⁹C₁ = 9

3. ¹²C₅ = 12 x 11 x 10 x 9 x 8 / 2 x 3 x 4 x 5

= 11 x 9 x 8 = 11 x 72 = 792

4. ²⁰C₁₇ = ²⁰C₃ = 20 x 19 x 18 / 2 x 3

= 19 x 3 = 57

5. ¹⁶C₁₃ = ¹⁶C₃ = 16 x 15 x 14 / 2 x 3

= 8 x 5 x 14 = 40 x 14 = 560

6. ⁷C₄ + ¹¹C₉ = ⁷C₃ + ¹¹C₂ = (7 x 6 x 5 / 2 x 3) + (11 x 10 / 2)

= 35 + 55 = 90

7. ⁷C₃ + ⁷C₄ + ⁷C₅ = 2(⁷C₃) + ⁷C₂ = (2 x 7 x 6 x 5 / 2 x 3) + (7 x 6 / 2)

= 70 + 21 = 91

Legit only this much I can do now.

Hope it is enough.

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2 1/2

Step-by-step explanation:

The answer is 2 1/2 simply because 3/4 minus 1/4 equals 2/4 which is equivalent equivalent to 1/2. The you would subtract 3 by 1 which is 2 so the answer is 2 1/2

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Step-by-step explanation:

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3 years ago
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4 0
3 years ago
What is the range of the function in the graph?
Verdich [7]

The range of the function in the graph given can be expressed as: D. 20 ≤ s ≤ 100.

<h3>What is the Range and Domain of a Function?</h3>

All the possible set of x-values that are plotted on the horizontal axis (x-axis) are the domain of a function. In order words, they are the inputs of the function.

On the other hand, all the corresponding set of x-values that are plotted on the vertical axis (y-axis) are the range of a function. In order words, they are the outputs of the function.

In the graph given below that shows a function, s is plotted on the vertical axis (y-axis), and its values starts from 20, up to 100. The range can be said to be all values of s that are from 20 to 100.

Therefore, the range of the function in the graph given can be expressed as: D. 20 ≤ s ≤ 100.

Learn more about functions on:

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3 0
2 years ago
A over b is in parentheses with the exponent -4 on the outside then there's another set of parentheses and on the outside of tho
JulijaS [17]

Answer:

1

Step-by-step explanation:

(((a/b)^(-4))^0)=

((b/a)^4)^0)=

((b^4)/(a^4))^0=

1

(ANYTHING to the power of 0 is equal to 1)

7 0
3 years ago
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