A safes unlocking code is composed of 6 letters or digits. find the number of codes that fit the given description

1 answer:

8 0

That would be one hard code to guess. The answer is simple but the number is actually. So how many letters and numbers are there?

Well, 26 letters, and we have 10 numbers including zero. I will give you two answers.

Assuming we can repeat characters i.e. we can have T56DDD,

then each slot has 36 options to choose from.

Total combinations in that case is 36^6.
(Basically 36*36*36*36*36*36)

If we cannot repeat and each character has to be unique e.g. UNIQUE

then the first slot has 36 options. It can use any character.

The second slot can use any character except the first. Thus 35 options etc.

Total combinations = 36*35*34*33*32*31

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Evaluate the integral by interpreting it in terms of areas Draw a picture of the region the integral

denis23 [38]

Answer:

Step-by-step explanation:

The picture is below of how to separate this into 2 different regions, which you have to because it's not continuous over the whole function. It "breaks" at x = 2. So the way to separate this is to take the integral from x = 0 to x = 2 and then add it to the integral for x = 2 to x = 3. In order to integrate each one of those "parts" of that absolute value function we have to determine the equation for each line that makes up that part.

For the integral from [0, 2], the equation of the line is -3x + 6;

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We integrate then:

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$-\frac{3x^2}{2}+6x\left \} {{2} \atop {0}} \right. +\frac{3x^2}{2}-6x\left \} {{3} \atop {2}} \right.$ sorry for the odd representation; that's as good as it gets here!