A company has 10 men qualified to run a machine that requires 3 operators at a time. find how many groups of 3 operators are pos
1 answer:
The number of possible groups or combination of three men can be formed from 10 is 120.
According to the given question.
Total number of men in a company, n = 10.
Number of men to be selected, r = 3
As we know that, What is a combination in math?
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A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Therefore, the number of possible groups or combination of three men can be formed from 10
=
= 10!/ 3!7!
= 10(9)(8)/3(2)
= 5 × 3 × 8
= 120
The number of possible groups or combination of three men can be formed from 10 is 120.
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Answer:
1. A. 1
2. D.
Step-by-step explanation:
Properties used:
- Power of a Power Property
- Product Property
- Quotient Property
- Zero Exponent Property
1. First, let's deal with the numerator.
can be turned into
by using the Power of a Power Property.
And then use the Product Property,
So now, our fraction is this:
All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: or
. Which then you plug the numbers in:
. And since we know that in Zero Exponent Property:
, we can see that
. So either way, we get 1.
So the answer is 1, which is A
2. Power of a Power Property:
So plug the numbers in the property: =
Product Property:
We plug the equation in with turned into
---
So the answer is , which is D
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