Complete step-by-step answer: We are given the no. of car number plates that can be made if each plate contains 2 different letters of English alphabet, followed by 3 different digits. So the first two terms of the plate are two different letters. There are 26 letters in English alphabet.

Combining these results, it follows that there are 676 x 1000 = 676,000 different license plates possible.

Question: How Many Different License Plates Are Possible If Each Contains 4 Letters (out Of The Alphabet’s 26 Letters) Followed By 2 Digits (from 0 To 9)? How Many Of These License Plates Contain No Repeated Letters And No Repeated Digits? There Aredifferent Possible License Plates. (Simplify Your Answer.)

So, the required number of ways in which four digit numbers can be formed from the given digits is 9×9×8×7=4536.

The total number of arrangements of three letters followed by three digits is then the product of the number of options available at each step and is then 26⋅26⋅26⋅10⋅10⋅10=263⋅103.

How many combinations are there with 3 letters and 3 numbers? The total number of arrangements of three letters followed by three digits is then the product of the number of options available at each step and is then 26⋅26⋅26⋅10⋅10⋅10=263⋅103.

There are, you see, 3 x 2 x 1 = 6 possible ways of arranging the three digits. Therefore in that set of 720 possibilities, each unique combination of three digits is represented 6 times. So we just divide by 6. 720 / 6 = 120.

5 How many license-plates with 3 letters followed by 3 digits exist if exactly one of the digits is 1? 8 · 7 · 6 · 5 · 4 · 3 · 2 · 1 = 40,320 ways.

For example, less-populous states such as Delaware and Rhode Island are able to use six-digit all-numeric serials, while several populous states use seven-character formats of three letters and four numbers, including 1ABC234 in California and ABC-1234 in Arizona, Georgia, Michigan, New York, North Carolina, Ohio.

Pull up gently on the shackle and hold it in place. Turn the dial clockwise listening carefully until you hear the lock click. Start with a good deal of pressure and gently let up as you spin it around, until you meet resistance in only one place. If the dial catches every few numbers, you are pulling too hard.

Standard Instructions for Opening a Combination Lock

1. Turn right three times. Stop at First Digit.
2. Turn left one full turn passing 1st number and stop at Second Digit.
3. Turn right and stop at Third Digit. Pull shackle. Profit.

Opening a Safe Without the Combination

1. First you must find the safe’s emergency key.
2. Remove the panel that covers your safe’s dial.
3. Once you have removed the dial panel, take a look beneath the dial itself.
4. Insert the emergency key into the emergency keyhole and turn it until the safe opens.