Suppose for this problem (though it may not be accurate in real life) that the Senate has Republicans and Democrats. In how many ways can we form a -senator committee in which neither party holds all seats?
Sorry the numbers didn't show up correctly. Here is the problem again:
Suppose for this problem (though it may not be accurate in real life) that the Senate has 47 Republicans and 53 Democrats. In how many ways can we form a 3-senator committee in which neither party holds all seats?
