I just want to make sure I have my method down properly, as usual, so here goes another round of questions.
There are 10 women and 8 men in a club. How many different committees of 6 people can be selected from the group if equal numbers of men and women are to be on the committee?
There are ways to select 3 women for the committee and ways to select 3 men for the committee. Therefore, there are different committees possible, so
Thus there are 241920 possible committees.
Two marbles are drawn from a bag containing 6 white, 4 red, and 6 green marbles. Find the probability of both marbles being white.
There are 16 marbles in all so there are ways of picking 2 marbles.
This is where I get fuzzy, I'm not too sure what to do next--should I multiply out all the permutations for all the colors and then work from there?
Or should I just focus on the white marbles?
If two rows of a determinant are interchanged, what is true of the resulting determinant?
Sadly for me, I have little clue of what to do. I could tell you why if one row of a determinant is 0 the whole things value is 0, but I don't know where to start on this one.