Each student receives one of 4 calculator models and one of 3 types of ruler. How many possible outcomes are there if a student gets one ruler and one calculator?

24 possible outcomes

Step-by-step explanation:

Combination has to do with selection. For example, if r object is selected from a pool of n objects, the number if possible ways can be expressed according to the combination formula:

nCr = n! / (n-r) ! r!

Applying this in question, if each student receives one of 4 calculator models and one of 3 types of ruler, the number of ways this can be done is:

4C1 * 3C1

4C1 = 4! / (4-1) !1! {If a student gets one calculator)

4C1 = 4*3*2/3*2

4C1 = 4ways

3C1 = 3! / (3-2) !1! {If a student gets a ruler}

3C1 = 3*2/1

3C1 = 6ways

Total number of possible outcomes if a student gets one ruler and one calculator will be 4*6 = 24ways