Question

how many different three digit even number can be formed using the digit 0,1,2,3,4,5 if each digit is to be used at most once ? Plz don't Spam!!!

Answer 1

Answer:

The answer is 60. How many 3 digit even numbers can be formed from 0, 1, 2, 3, 4, 5 and 6 with no repetition?

Answer 2

Given: The digits 0, 1, 2, 3, 4 and 5

To find: The number of three digit even numbers can be formed using the given digits without repetition

Solution: Among the given digits 0, 1, 2, 3, 4 and 5, an even number is formed only when 0, 2 and 4 are in the unit's place.

Hence, the unit's place can be filled in 3 ways by the digits 0, 2 and 4.

Now, the hundred's place can be filled by the digits 1, 2, 3, 4 and 5.

Since repetition is not allowed, the hundred's place can be filled in 5 ways.

Now, the ten's place can be filled in 4 ways as already 2 digits are taken up.

Therefore, the total number of three digit even numbers that can be formed using the given digits = 3 × 5 × 4 = 60.

Answer: 60