On 24 of the month, she has to do all 3 chores on the same day.
Given that,
Janae vacuums her house every 2 days, mops every 4 days, and does laundry every 6th day. On what day of the month will she have to do all 3 chores on the same day is to be determined.
What are permutation and combination?
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Here
The combination can be given as
Date for vacuums for every 2 days = {2, 4, 6, 8, ....., 30} = every even nunber,
Dates for mopes every 4 days = {4, 8, 12, 16, 20, 24, 28}
Dates for laundry every 6 days = {6, 12, 18, 24, 30}
The common number in each of the three sets is 24.
Thus, On the 24 of the month, she has to do all 3 chores on the same day.
Learn more about permutations and combinations here: https://brainly.com/question/2295036
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