The number of license plates is 11232000
<h3>How to determine the number of license plates?</h3>
The given parameters are:
Characters = 6 i.e. 3 letters and 3 digits
Letters = 3 different letters
Digits = 3 different digits
There are 10 different digits and 26 different letters.
Since each character is different from the other, then we have:
Digits = 10, 9 and 8
Characters = 26, 25 and 24
The number of license plates is then calculated as:
n = 10 * 9 * 8 * 26 * 25 * 24
Evaluate the product
n = 11232000
Hence, the number of license plates is 11232000
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Answer:
cos ∠CBD = - 4√41 / 41
Step-by-step explanation:
AB = 4 ΔABC = (4 x AC) / 2 = 10
AC = 5
BC = √5² + 4² = √41
cos ∠CBD = cos (180° - ∠CBA) = cos 180° cos ∠CBA + sin 180° sin ∠CBA
(cos 180° = - 1 sin 180° = 0 cos ∠CBA = 4 / √41 )
cos ∠CBD = (-1) x cos ∠CBA = - 4 / √41 = - 4√41 / 41
Answer:
A=BQ
Step-by-step explanation:
In order to find an expression, you can use the definition of the dividend in a division:

where A is the dividend, B is the divisor, Q is the quotient (the result of the division) and R is the remainder of the division.
Let A represent the integer variable number of prizes and B represent the integer variable number of participants.
In this case R=0 and B≠0, therefore:
A=BQ
A is divisible by B if A can be written as an integer multiple of B. In other words, you have to find an integer number Q that multiplied by B produces A.