Question

form any four 4 digit even numbers
form any four 4 digit odd numbers​

Answer 1

Answer:

Now, for the number to be even , ones place can be filled by 2 or 4.

So, there are 2 ways to fill one's place.

Since, repetition is not allowed, so tens place can be filled by remaining four digits.

So, tens place can be filled in 4 ways.

Since, repetition is not allowed , so hundreds place can be filled by remaining 3 digits .

So, hundred's place can be filled in 3 ways.

Similarly, to fill thousand's place, we have 2 digits remaining.

So,thousand's place can be filled in 2 ways.

So, required number of ways in which four digit even numbers can be formed from the given digits is 2×4×3×2=48

Answer 2

form any four 4 digit even numbers-The second digit can be any of 10 digits (0 through 9, inclusive), and the same is true for the third digit. The fourth digit must be even, and there are 5 even digits (0, 2, 4, 6, or 8). Thus, the number of 4-digit even numbers is 9 x 10 x 10 x 5 = 4500.