Question

how many even numbers greater than 300 can be formed with the digits 1,2,3,4,5 no repetition being allowed?

Answer 1

Answer: There can be 24 even numbers greater than 300.

Step-by-step explanation:

Since we have given that

Digits are 1,2,3,4,5.

Number should be greater than 300.

Number should be even.

No repetition allowed.

So, we know that if the number is greater than 300, then first digit can be 3,4,5.

and number should be even then last digit should be 2,4.

So, using fundamental theorem of counting, we get that

$3\times 4\times 2\\\\=24$

Hence, there can be 24 even numbers greater than 300.