C. The World is a Theatretime limit per test2 secondsmemory limit per test256 megabytesinputstandard inputoutputstandard outputThere are n boys and m girls attending a theatre club. To set a play "The Big Bang Theory", they need to choose a group containing exactly t actors containing no less than 4 boys and no less than one girl. How many ways are there to choose a group? Of course, the variants that only differ in the composition of the troupe are considered different.Perform all calculations in the 64-bit type: long long for С/С++, int64 for Delphi and long for Java.InputThe only line of the input data contains three integers n, m, t (4 ≤ n ≤ 30, 1 ≤ m ≤ 30, 5 ≤ t ≤ n + m).OutputFind the required number of ways.Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use cin, cout streams or the %I64d specificator.ExamplesInput5 2 5Output10Input4 3 5Output3
Input5 2 5
Output10
['combinatorics', 'math', '*1400']