The first two are Combination problems, not Permutations.
There are: . ways to choose 3 women.1) There are 10 women and 8 men in a club.
How many different committees of 6 people can be selected from the group
if 3 women and 3 women are to be on the committee?
There are: . ways to choose 3 men.
Therefore, there are: . committees with 3 women and 3 men.
2) 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: . possible two-marbles samples.
There are: . ways to get two white marbles.
It depends on which two rows are interchanged.3) If two rows of a determinant are interchanged,
what is true of the resulting determinant?
If the two rows are an odd number of rows apart,
. . the sign of the determinant is changed.
If the two rows are an even number of rows apart,
. . the value of the determinant is unchanged.