1. ## Combinations questions

Hello, I'm currently enrolled in a Criminal Justice program and my course is Business Algebra. I am retaking this course a third tie because I can't seem to find any help. If you can help me, I would would greatly appreciate it. I will list some examples of what my university is expecting me to understand and simplify. Once again, thank you who or whomever you are. Appreciate it very much.

Ex. # 1: A college offers 2 introductory courses in history, 2 in science, 2 in math, 2 in philosophy, and 1 in english:

A) If a freshman takes 1 course in each area during her 1st semester, how many course selections are possible?

B) If a part-time student can afford to take only 1 introductory course, how many selections are possible?

Ex. # 2: A) How many ways can a 4-person subcommittee be selected from a committee of 7 people?

B) How many ways can a president, vice-president, secretary, & treasurer be chosen from a committee of 7 people?

The # of ways to select a 4-person subcommittee is:
The # of ways to chose president, vice-president, secretary, & treasurer is:

Ex. # 3: From a standard 52 card deck, how many 7 card hands will have 4 spades & 3 hearts? The # of hands is:

Ex. # 4: A catering service offers 6 appetizers, 7 main courses, & 6 desserts. A banquet committee is to select 5 appetizers, 6 main courses, & 3 desserts. How many ways can this be done?

I know these are alot of examples but I posted them all in one area so I won't take up to much space from everyone else. But once again thank you for all of your help whether you could help or not. Appreciate it.

2. most of these problems are simple combination or permutation problems.

the difference in those two concepts is easy to understand: permutations mean order matters while combinations mean order is meaningless.

try some problems and let us clean up little messes for you; show us where you are stuck.

3. ## Permutations and Combinations

Hello KIanG07

Welcome to Math Help Forum!

Have a look at a reply I gave here.

Get back to us if it still doesn't make any sense.