# A four-digit serial number is to be created from the digits 0 through 9. How many of these serial numbers can be created if 0 can not be the first digit, no digit may be repeated, and the last digit must be 5?

Consider the number of options for each position.

By signing up, you agree to our Terms of Service and Privacy Policy

The total number of four-digit serial numbers that can be created with the digits 0 through 9, where 0 cannot be the first digit, no digit may be repeated, and the last digit must be 5, can be calculated as follows:

- For the first digit: Since 0 cannot be the first digit, there are 9 choices (1 through 9).
- For the second digit: Since no digit may be repeated, there are 9 choices remaining (excluding the digit chosen for the first position).
- For the third digit: There are 8 choices remaining (excluding the digits chosen for the first and second positions).
- For the fourth digit: Since the last digit must be 5, there is only 1 choice.

To find the total number of serial numbers, we multiply the number of choices for each position:

[ 9 \times 9 \times 8 \times 1 = 648 ]

Therefore, there are 648 four-digit serial numbers that satisfy the given conditions.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A student must answer 3 out of 5 essay questions on a test. In how many different ways can the student select the question?
- You get a mosquito bite. Is this event dependent or independent of the mosquito landing on your arm?
- The number of way in which a examiner can assign 30 marks to 8 questions given not less than 2 marks to any question is?
- In how many ways can the letters in “Mississippi” be arranged?
- A bag contains 10 coloured counters. 2 are picked at random. Probability of them both being red is 2/15. Use algebra to work out how many of the 10 counters in the are red?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7