Using the fundamental counting principle to pick a month of the year in the day of a week would give 84 combinations.
How to find the number of combinations ?
The Fundamental Counting Principle is a concept in combinatorics that helps you calculate the total number of possible outcomes when you have multiple independent choices or events.
Choices for the Month: There are 12 months in a year. So, you have 12 choices for the month.
Choices for the Day of the Week: There are 7 days in a week
To find the total number of possible combinations of a month and a day of the week, you simply multiply the number of choices for each event:
Total Number of Combinations = Number of Choices for Month x Number of Choices for Day of the Week
Total Number of Combinations = 12 months x 7 days
= 84 combinations
In conclusion, there are 84 different combinations of selecting a month of the year and a day of the week using the Fundamental Counting Principle.