00:01
In this problem, let x be the set of integers between 1 ,000 which are multipliers of 3.
00:13
Let y be such integers which are multipliers of 5 and z be such integers which are multipliers of 11.
00:27
The number of integers which will be the multipliers of 3, this will be given as we are looking for a multiple of 3 will be of the form 3k for.
00:38
Some integer k such that lies between 1 to 10 ,000 so dividing both sides by 3 we get 1 by 3 k 10 ,000 by 3 or this is 0 .33 less than equal to k less than equal to 3 3 3 3 3 3 .33 or k which is the greatest integer possible will be 333 so there are 3333 such integers which are multipliers of 3.
01:28
So we have x as 3333.
01:31
Similarly, y will be 10 ,000 by 5, which is simply 2 ,000.
01:37
And z will be 10 ,000 by 11, which will give us 909 point something.
01:43
So it is 909...