Committee consists of six freshmen, five sophomores, three juniors, and one senior. a.) a subcommittee of four is to be chosen at random. what is the probability that all fourclasses are represented on the subcommittee? b.) answer the question in part (a) if a subcommittee of five is chosen (instead of a sub-committee of four).

a) 0.0659

b) 0.1648

Step-by-step explanation:

6 Freshmen

5 Sophomores

3 Juniors

1 Senior

Total 15 people

a) Form a subcommittee with 4 people and all classes

should display this subcommittee. That is, of the 4 categories, all

they must participate.

For a freshman to participate we have to:

For a sophomore to participate, we have to:

For a junior to participate, we have to:

For a senior to participate, we have to:

The number of possible subcommittees is

So consider

A: "All 4 classes are represented"

b) Taking the last class, we can choose 2 people from the other groups.

Therefore, we vary the number of people as follows:

Choosing two freshmen and 1 from the other classes

Choosing two from sophomore and one from other classes

Choosing two juniors and 1 from the other classes

The number of possible subcommittees is

constants mean the stopped points or the points on a graph that nothing is changing, hope this

step-by-step explanation: