3. An office supply store sells 4 types of folders, 6 types of pens, and 5 types of 3- ring binders . If a student buys 1 folder , pen and binder, how many different arrangements are possible ?
what is 4*6*5 ?
To calculate the number of different arrangements, we can use the multiplication principle.
First, we need to find the number of choices for each item:
- The student can choose 1 folder out of the 4 available options, so there are 4 choices for the folder.
- The student can choose 1 pen out of the 6 available options, so there are 6 choices for the pen.
- The student can choose 1 binder out of the 5 available options, so there are 5 choices for the binder.
According to the multiplication principle, we multiply the number of choices for each item:
Number of different arrangements = Number of choices for the folder × Number of choices for the pen × Number of choices for the binder
Therefore, the number of different arrangements possible is:
4 (number of choices for the folder) × 6 (number of choices for the pen) × 5 (number of choices for the binder) = 120 different arrangements.
To find the number of different arrangements possible, we need to multiply the number of options for each item together.
In this case, the student is buying 1 folder, 1 pen, and 1 binder. There are 4 options for the folder, 6 options for the pen, and 5 options for the binder.
Thus, the total number of different arrangements possible is calculated as:
Total arrangements = Number of folder options × Number of pen options × Number of binder options
= 4 × 6 × 5
= 120
Therefore, there are 120 different arrangements possible.