Comparing Two Columns for a Match and Referencing a Third, Return Max of Third

Hello,
New guy here, just ran into an problem I can't seem to find the solution to. Any help anyone could provide would be greatly appreciated. Here's my problem:

	A	B	C
1	1111	XXXX	1
2	1111	XXXX	3
3	1111	YYYY	1
4	2222	XXXX	3
5	2222	ZZZZ	3
6	3333	XXXX	1
7	3333	YYYY	1
8	3333	YYYY	2

So if multiple rows match in Column A&B (Like Row 1 and 2) I want to return only the highest of Column C preferrably into a second sheet that would like like this:

	A	B	C
1	1111	XXXX	3
2	1111	YYYY	1
3	2222	XXXX	3
4	2222	ZZZZ	3
5	3333	XXXX	1
6	3333	YYYY	2

So Row 1 and Row 7 from the top sheet have been eliminated since there other rows with matching A and B Columns, but higher values in Column C.


Any ideas?