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nydimaria [60]
2 years ago
5

Evaluate Combination (6,6)

Mathematics
1 answer:
andrew11 [14]2 years ago
8 0

Answer:

nCx = \frac{n!}{x! (n-x)!}

On this case n =6 and x =6 we got:

6C6 = \frac{6!}{6! (6-6)!} = \frac{6!}{6! 0!}= \frac{6!}{6!}=1

Step-by-step explanation:

The utility for the combination formula is in order to find the number of ways to order a set of elements

For this case we want to find the following expression:

6C6

And the general formula for combination is given by:

nCx = \frac{n!}{x! (n-x)!}

On this case n =6 and x =6 we got:

6C6 = \frac{6!}{6! (6-6)!} = \frac{6!}{6! 0!}= \frac{6!}{6!}=1

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3 years ago
The domain and range is?
Molodets [167]

Answer:

In inequality notation:

Domain: -1 ≤ x ≤ 3

Range: -4 ≤ x ≤ 0

In set-builder notation:

Domain: {x | -1 ≤ x ≤ 3 }

Range: {y | -4 ≤ x ≤ 0 }

In interval notation:

Domain: [-1, 3]

Range: [-4, 0]

Step-by-step explanation:

The domain is all the x-values of a relation.

The range is all the y-values of a relation.

In this example, we have an equation of a circle.

To find the domain of a relation, think about all the x-values the relation can be. In this example, the x-values of the relation start at the -1 line and end at the 3 line. The same can be said for the range, for the y-values of the relation start at the -4 line and end at the 0 line.

But what should our notation be? There are three ways to notate domain and range.

Inequality notation is the first notation you learn when dealing with problems like these. You would use an inequality to describe the values of x and y.

In inequality notation:

Domain: -1 ≤ x ≤ 3

Range: -4 ≤ x ≤ 0

Set-builder notation is VERY similar to inequality notation except for the fact that it has brackets and the variable in question.

In set-builder notation:

Domain: {x | -1 ≤ x ≤ 3 }

Range: {y | -4 ≤ x ≤ 0 }

Interval notation is another way of identifying domain and range. It is the idea of using the number lines of the inequalities of the domain and range, just in algebriac form. Note that [ and ] represent ≤ and ≥, while ( and ) represent < and >.

In interval notation:

Domain: [-1, 3]

Range: [-4, 0]

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2 years ago
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Step-by-step explanation:

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2 years ago
the 43rd term of an arithmetic sequence is -671 and the 52nd term is -806. find the first term and the common difference.
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Answer:

First term = -41.

Common difference = -15.

Step-by-step explanation:

nth term: an = a1 + (n - 1)d  where a = first term and d = the common difference.

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2 years ago
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