How many 3 - digit numbers can be formed from the digits 0, 1, 2, 3 and 4 with repetitions? (2024)

FAQs

How many 3-digit numbers can be formed using 1, 2, 3, 4 with repetition? ›

'24′, 3-digits number can be formed by using only 1,2,3,4.

Originally Answered: How many 3 digit numbers can be formed by using 0, 1, 2, 3, and 4 without repetition? 48 distinct 3-digit numbers.

But there are 4 different numbers. So the number of 3-number combinations are- (1,2,3),(1,2,4),(1,3,4),(2,3,4). Each can be arranged in 6 ways, so we get 24 ways totally.

Then the answer is 900.

e.g. the numbers 1234 - can have up to 24 different combinations. some of them being 1234, 2341, 3412, 4123, etc.... up to 24 combinations. the numbers 1123 - can have up to 12 different combinations.

That gives us 4×3×2×1=4! =24 numbers.

Thus, 3-digit numbers can be formed in 60 ways without repetition. Q. (i) repetition of the digits is allowed? (ii) repetition of the digits is not allowed?

Hence, a total of 2(132 and 312) three-digit numbers can be formed using 1, 2, 3 without any repetition and which are also divisible by 6.

How many 3 digit even numbers can be formed from 0, 1, 2, 3, 4, 5 and 6 with no repetition? It's 105. Okay, so let's see this step by step. As we know even numbers are those integers which have 0 or 2 or 4 or 6 or 8 at the unit's place.

We have to find the number of arrangements of 3 digits which can be formed from digits 0 to 9. Therefore, in 1000 arrangements 3 digits can be formed from the digits 0 through 9.

How many 3 digit numbers can be formed 2 3 5 6 7? ›

∴ Required number of numbers = (1 x 5 x 4) = 20.

The units place can be filled with 0 to 9 ways. i.e., 10 ways. So a total of 9 * 10* 10 = 900 three digit numbers can be formed.

List of Three Digits Numbers. As we already discussed, the three digits numbers are from 100 (hundred) to 999 (nine hundred ninety-nine). Before we see the list of three digits numbers, first let us discuss how many three digits numbers we have from 100 to 999. Hence, there are 900 three-digit numbers in total.

=60. Was this answer helpful?

There are 504 different 3-digit numbers which can be formed from numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 if no repetition is allowed. Note: We can also use the multiplication principle to answer this question.

of numbers that can be formed using all four digits 1,2,3,4=4! =4×3×2×1=24.

Multiplying 4 X 3 X 2 X 1 results in a product of 24. Therefore, the answer is you can make 24 4-digit numbers with 1234.

If you are meaning simply a 3 digit number using digits 0–9 then the answer is 10•10•10 = 1,000 with repetition. 10•9•8 = 720 without repetitions.

Thus, 60 three-digit even numberscan be formed by the given digits.