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Brums [2.3K]
3 years ago
14

Using 5 letters followed by 2 ​digits, how many passwords are​ possible?

Mathematics
1 answer:
Deffense [45]3 years ago
6 0
Since there is no condition whatsoever for this arrangement, I can consider the 2 digits and the 5 letters as 7 different objects.

Total permutation (with no repetition):
7 chosen among 7 , that is 7 ! = 5040 arrangements

Total permutation (WITH REPERTITION):

7⁷ = 823 543

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100 points! explain well for brainliest
Dima020 [189]

Answer:

A

Step-by-step explanation:

Remember that the formula for the area of a triangle is:

A=\frac{1}{2}bh

In this case, our base will be the distance from the origin point (0, 0) to (x₁, y₁).

Our height will be the distance from the origin point (0, 0) to (x₂, y₂).

So, let's find each of the distances using the distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

BASE:

Let's let (x₁, y₁) be itself and let's let (0, 0) be (x₂, y₂). Substitute this into the distance formula. This yields:

d=\sqrt{{(0-x_1)^2+(0-y_1)^2

Simplify:

d=\sqrt{(-x)^2+(-y)^2

We can remove the negative:

d=\sqrt{((-1)x_1)^2+((-1)y_1)^2

d=\sqrt{x_1\!^2+y_1\!^2}

And this is the length of our base.

HEIGHT:

Let' let (0, 0) be (x₁, y₁) and (x₂, y₂) be itself. Substitute them into our distance formula:

d=\sqrt{(x_2-0)^2+(y_2-0)^2

Simplify. So, our height is:

d=\sqrt{(x_2)^2+(y_2)^2

Therefore, substitute the base and the height for b and h in our equation yields:

A=\frac{1}{2}(\sqrt{(x_1)^2+(y_1)^2)}(\sqrt{(x_2)^2+(y_2)^2})

We can combine the square roots by multiplying. So:

A=\frac{1}{2}\sqrt{(x_1\!^2+y_1\!^2)(x_2 \!^2+y_2\!^2)

The answer choice that represents this is A.

So, our answer is A.

And we're done!

5 0
4 years ago
Read 2 more answers
A slope of -5 that passes through (2,15)
amm1812

Answer:

y=-5x+25

That is the answe in slope intercept form

8 0
3 years ago
Which sequence shows the numbers in order from least to
cestrela7 [59]

Answer:

D

Step-by-step explanation:

Just did it

6 0
3 years ago
4. Convert the following fractions to decimals<br> 1. 23/100
MAVERICK [17]

Answer:

0.23

Step-by-step explanation:

Using either long division or a calculator, divide 23 by 100; you will get the result 0.23.

8 0
3 years ago
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Find the missing length indicated. Leave your answer in simplest radical form.
pickupchik [31]
25

The triangle given by 9, unknown, and 15 and the triangle given by 15, unknown, and x are similar triangles and therefore 9:15 = 15:x

X is 25 in this case
8 0
3 years ago
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