In how many ways can a president, vice president, and secretary be chosen from a class of 20 girls and 30 boys if the president must be a girl and the vice president a boy?

Given:

Number of girls = 20

Number of boys = 30

The president must be a girl and the vice president a boy

To find:

Number of ways to choose a president, vice president, and secretary.

Solution:

The president must be a girl and the vice president a boy. So, out of three students 1 is girl and 1 is boy. Third student can be a girl or a boy.

Total number of ways = Selecting 2 boys and 1 girl +  Selecting 1 boy and 2 girls

Therefore, the required number of ways is 12500.

Group a had LOWER median than group b. group b has LESS overall variability because it has a SMALLER range than group a.

the line in the middle of the box is the median and you can see b’s median is higher on the number line. then the whole line of b is shorter with less variability because the outliers are the little marks at the end and b’s marks are less far apart.