Question

How many numbers can be formed from the digits 0,2, 4,6,8, with no digits repeated.

Answer 1

Answer:

500

Step-by-step explanation:

500 different numbers can be formed.

Explanation:

Think of it as 4 empty places to fill, because we have to make a four digit no..

For the first place we 4 choices( 2,4,6,8), we can't select 0, because then it'll be a 3 digit no.

For second, third and fourth place we have all the 5 choices each (0,2,4,6,8). All are even digits, so we can use all of them in the last place as well; the no. would be divisible by 2.(and 5 in the case of 0)

Keep in mind we could only do this because repetition is allowed.

Now by fundamental principle of counting, we multiply the choices: