I’m doing a review exercise that gives me the list of numbers from 100 to 1000.
I need to find the number of different numbers that have a 0.
I suppose I could do this with the Pigeonhole principle, but I’m not sure how to implement it.
Thanks.
I’m doing a review exercise that gives me the list of numbers from 100 to 1000.
I need to find the number of different numbers that have a 0.
I suppose I could do this with the Pigeonhole principle, but I’m not sure how to implement it.
Thanks.
I don't really know how you would do this with the pidgeonhole principle. I would count how many numbers have no zeros, then how many numbers have 2 zeros (hint, it's 9), then use that to find how many numbers have 1 zero. Then you can use all of that information to get the total number of zeros.
There's a common theme when counting that it's sometimes easier to count everything except what you're asked to count and then subtract.