The order in which the letters and the digits are is important(AB is a different password than BA), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this question:

2 digits from a set of 10(there are 10 possible digits, 0-9).

3 characters from a set of 26. So

$P_{10,2}P_{26,3} = \frac{10!}{8!} \times \frac{26!}{23!} = 10*9*26*25*24 = 1404000$

1,404,000 unique passwords are possible.

5 0

3 years ago

What is the perimeter of the shape below?

Mashcka [7]

None of these choices are correct

The down side of the shape is unknown and cannot be found, therefore you cannot find the perimeter of the shape.

8 0

2 years ago

PLEASE HELP!!!!!

Vesna [10]

Answer:

$289,169.84 (to the nearest cent)

Step-by-step explanation:

Compound interest is based on the principal amount and the interest that accumulates on it in every period.

Compound Interest = P (1 + r)^n

where P = principal amount, r = annual interest rate (as a decimal), n = term, in years

So for this problem:

P = 185000

r = 1.4 ÷ 100 = 0.015

n = 30

Therefore,

Compound Interest = P (1 + r)^n

= 185000 x (1 + 0.015)^30

= 185000 x (1.015)^30

= 289169.8408...

= $289,169.84 (to the nearest cent)

5 0

2 years ago