00:01
In this problem we have 5 digits 2, 3, 4, 5 and 6.
00:06
We need to find how many numbers greater than 4 ,000 can be formed from these digits and then we need to calculate how many 4 digits number would be even.
00:20
So if we want to form number greater than 4 ,000, then there can be two cases.
00:28
The first case is that the number is 4 digit number and if the number is a 4 digit number then it's a thousand place must be filled by 4, 5 or 6.
00:51
Hence there are three ways to fill the 1 ,000 digit.
01:01
Now the 100th place can be filled from a 1.
01:06
Any of the given digit so we can say there are five ways to fill the hundredth number and similarly there are five ways to fill tenth and unit digit so from here we can calculate number of ways is equals to 3 times 5 times 5 times 5 on further calculate we get 375 ways now let's consider the second case when the number is 5 digit number so in this case we have 5 ways to fill each place hence the number number of ways will be equals to 5 raise to the power 5 and this will be equals to 3 ,125.
02:38
Therefore, the total number of ways to create a number greater than 4 ,000 is equals to 3 ,125 plus 375...