break these questions down and explain why the answers are these

23. In how many ways can a committec of four persons be selected from eight men and ten women such that at most two men are on the cornaniffec? C(10,4)+C(8,1)C(10,3)+C(8,2)C(10,2) 24. An exam has 10 questions. How many ways can (integer) points be assigned to the problens if the total points is 100 and each problem is worth at least seven points cach? \begin{tabular}{|c|c|} \hline \begin{tabular}{l} Set avide 10(7)=70 points. \\ Viow divide 30 poiats among 10 questions \end{tabular} & \begin{tabular}{lll} x5x & 30 & \\ x5xx \end{tabular} \\ \hline Answer: C 39,9 & \\ \hline \end{tabular} 25. Hon many ways can eight men and eight wonen be seated around a circular table? Set aside ose person because it is a circular tables P(15,15)=15 : P(16,16)2