How many 2 digit numbers can be formed from the digits 12345 if the digits can be repeated?

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  • How many odd numbers less than 100 can be formed by using the digits 0 3 5 7 when repetition fo digits is not allowed?
  • How many 5 digit number can be formed using the digits 02345when repetition is allowed such that the number formed is divisible by 2 or 5 or both?
  • How many different ways can a license plate be made containing two letters and three digits with repetition of the numbers and letters not allowed?
  • How many possible 3 digit numbers can be made using the digits 604?
  • How many 3 digit numbers can be formed from digits 0 1 2 3 4 5 6 7 8 9 and what are the results?
  • How many 2 digit numbers can be formed from the numbers 1 2 3 4 and 5 if repetitions are allowed?
  • How many 4 digit numbers can be formed from the digits 12345 which are divisible by 3?
  • How many 6 digit even numbers can be formed from the digits 1 2 3 4 5 SO 7 the digits should not repeat and second last digit is even?
  • How many two digit numbers can be formed from the digits 1,2 3 4 5 if repetitions are allowed?
  • How many two digit numbers can be generated using the digits 1,2 3 4?
  • How many 2 digit and 3
  • How many numbers can be formed with the digits 1,2 3 4 3 2 1 so that odd digits are in odd places and even digits are in even places?

How many odd numbers less than 100 can be formed by using the digits 0 3 5 7 when repetition fo digits is not allowed?

9 odd numbers less than 100 can be formed. They are: 3,5,7,35,37,53,57,73 and 75.


How many 5 digit number can be formed using the digits 02345when repetition is allowed such that the number formed is divisible by 2 or 5 or both?

There are 2000 such numbers.


How many different ways can a license plate be made containing two letters and three digits with repetition of the numbers and letters not allowed?

There are 676,000 ways to make the license plates.


How many possible 3 digit numbers can be made using the digits 604?

There are 4 possible numbers if the digits are not repeated; 18 if they are. Those are 3-digit numbers, assuming that zero would not be a leading digit. If zero is allowed for a leading digit, then you can have 6 for the non repeated, and 27 if repetition.


How many 3 digit numbers can be formed from digits 0 1 2 3 4 5 6 7 8 9 and what are the results?

If repetition is allowed and leading zeros are allowed, then you have 000 to 999, which is 1,000 possibilities (I will not list them here). If no leading zeros are allowed, then you have 100 through 999, so there are 900 possibilities. If there are other restrictions, such as no repetition, then I'll refer you to the related link at MathsIsFun.com

As the title said, I have an assignment where we are asked: How many 2-digit numbers can be formed from even-numbered digits if the repetition of the digit is not allowed?

I've tried answering it myself but I am not sure if it's correct. What I did was multiply 4 by 3, since there are 4 even-numbered digits (2, 4, 6, 8). And since repetition is not allowed, for the ones digit, I did 4 since nothing has been used yet and for the tens digit I only used 3 since one digit has been used before. Please correct me if I'm wrong.

Sorry if my explanation is bad, I have a hard time trying to explain things and this is my first time posting. Many thanks!

Edit: Okay, just a quick update. I asked my teacher and apparently, both 12 and 16 are considered answers. Case closed! :)

Table of Contents

  • 1 How many two digit numbers can be formed from the digits 1 2 3 4 if repetitions are allowed?
  • 2 How many 2 digit numbers can be formed from the numbers 1 2 3 4 and 5 if repetitions are allowed?
  • 3 How many 4 digit numbers can be formed from the digits 12345 which are divisible by 3?
  • 4 How many 6 digit even numbers can be formed from the digits 1 2 3 4 5 SO 7 the digits should not repeat and second last digit is even?

Permutation and Combination #31

31. How many two digit numbers can be generated using the digits 1,2,3,4 without repeating any digit?
A. 10B. 12
C. 4 D. 16

How many 2 digit numbers can be formed from the numbers 1 2 3 4 and 5 if repetitions are allowed?

Total Number of Numbers which can be formed by numbers 1,2,3,4,5 (without repeating digitsi) = 5*4*3*2*! = 5! = 120.

How many four digit numbers are possible from the digits 0 1 2 3 4 and 5 if I repetitions are allowed?

That exhausts the possibilities, so there are 120+300=420 even four digit numbers that can be formed using the digits 0,1,2,3,4,5,6.

How many even numbers can be formed from the digits 1 2 3 4?

Further, to ensure that the number is even we ensure that in the unit’s place, the digits can only be 2 or 4. Hence, there are 48 four digit even numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated.

How many 4 digit numbers can be formed from the digits 12345 which are divisible by 3?

Hence the units place can be filled in ‘2’ ways. Therefore, the number of 4 digited numbers divisible by 3. =63×2=216×2=432.

How many 6 digit even numbers can be formed from the digits 1 2 3 4 5 SO 7 the digits should not repeat and second last digit is even?

So, total number of numbers that can be formed with the digits {1, 2, 3, 4, 5, 6, 7} with no digits repeated and terminal digits as even will be 3×5×4×3×2×2 = 720. So, total possible numbers will be 720. Hence, the correct option will be D.

How many 4-digit even numbers can be formed using the digits 0 1 2 3 4 if all digits must be distinct?

How many 4-digit even numbers can be formed?

Hence, there are 48 four digit even numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated.

How many two digit numbers can be formed from the digits 1,2 3 4 5 if repetitions are allowed?

∴ The number of 2-digit numbers formed from the given set with repetition =5P2+5=20+5=25.

How many two digit numbers can be generated using the digits 1,2 3 4?

Hence, the total 2 digits number are 12.

How many 2 digit and 3

Solution : 357, 375, 537, 573, 735, 753. Therefore, '6' three-digit numbers can be formed.

How many numbers can be formed with the digits 1,2 3 4 3 2 1 so that odd digits are in odd places and even digits are in even places?

3. ` <br> Hence, the required number of numbers `=(6xx3)= 18. `

How many 2 digit even numbers can be formed from the digits 12345?

Hence, Number of 2 digit even numbers =10.

How many 2 digit numbers can be formed from the digits 1234?

The answer is 12 two digit numbers.

How many two digit numbers can we make using the same digit repeated?

9 possible two-digit numbers can be formed.

How many 3

∴ Total number of 3-digit numbers = 3×4×5=60.