How many different four-digit numbers can be made using the digits 1, 2, 3, 4, 5, 6 if no digit can be used more than once?

1 answer:

6 0

To solve this problem you must use Permutation:

You want to made 4 digit numbers with the digits 1, 2, 3, 4, 5, 6 and<span> no digit can be used more than once. So, we have:

(A,B,C,D)

A can variate in six (6) differents forms.
B can variate in (6-1)=5 differents forms.
C can variate 4 digits.
D can variate 3 digits.

Keeping this on mind, we have:

=6!/2!
=6*5*4*3
=360

</span> The answer is: 360

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il63 [147K]

The required value after simplification of the s = -16/3. None of these are correct.

Given that,
To simplify $[\frac{x^{2/3}x^{-1/2}}{x\sqrt{x^3}\sqrt[3]{x}}]^2$ and to find the value of s in $x^s$ .

<h3>What is simplification?</h3>

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Simplification,

$=[\frac{x^{2/3}x^{-1/2}}{x\sqrt{x^3}\sqrt[3]{x}}]^2\\= \frac{x^{4/3}x^{-1}}{x^2x^3*{x}^{2/3}}\\= \frac{x^{1/3}}{x^{17/3}}\\=x^{-16/3}$
Comparing with $x^S$
s = -16/3

Thus, the required value of the s = -16/3. None of these are correct.

Learn more about simplification here: brainly.com/question/12501526

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1 year ago

PLEASE ANSWER QUICKLY ASAP <br>READ THE QUESTION CAREFULLY PLEASE

Anna11 [10]

Answer:

140°

Step-by-step explanation:

total angle of a hexagon is 720. We know already 510°. That leaves 210°. The ratio between the two angles is 2:1, therefore angle CDE is 140° and angle DEF is 70 °

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3 years ago

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When is g(x) = 0 for the function g(x) = 5⋅2^3x + 4?

SashulF [63]

The answer should be when X=1
Hope this helped u out if not sorry
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3 years ago

What is 7 1/5 written as a percent?

DanielleElmas [232]

7 1\5=7x5+1=36\5
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