In a certain state, each automobile license plate number consists of two letters followed by a three-digit number. To avoid confusion between "O" and "zero" and between "I" and "one", the letters "O" and "I" are not used. How many distinct license plate numbers can be formed in this state?
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Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
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Hi, please fill in the boxes with the x mark, please with the correct answer.
Note: 3 is not the answer for the first x mark box, thanks.
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In a certain state, each automobile license plate number consists of two letters followed by a three-digit
number. To avoid confusion between "O" and "zero" and between "I" and "one", the letters "O" and "I" are not
used. How many distinct license plate numbers can be formed in this state?
Step 1
There are a total of 5
5 events in this situation. The first two events are the choices of the letters
and the rest of the events are the choices of the numbers.
The English alphabet contains 26 letters. However, the letters "O" and "I" are not used and therefore there are
only 24
24 choices for the first letter. A number plate can have the same letter in the two letter
places. Therefore, there are 24
24 choices for the second letter.
Step 2
Because there are a total of 3
x digits, there are 10
choices for each digit in the
three-digit number of the license plate number."
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