Question 1097044
<br>The first tutor who responded perhaps misread the problem. His answer is the number of ways that the committee can be formed with EXACTLY 4 senators, which means 1 of the 14 representatives:
{{{C(12,4)*C(14,1) = 495*14 = 6930}}}<br>
But the problem says the committee must have AT LEAST 4 senators.  So the earlier answer is missing the number of ways in which all 5 committee members are senators:
{{{C(15,4) = 1365}}}<br>
So the final answer to the problem is
{{{6930+1365 = 8295}}}