Math CentralQuandaries & Queries


Question from muhammadibeaheem, a student:

Use mathematical induction to prove that for all integers n≥1, is divisible by 3.

Question 2;
A club consists of four members. How many sample points are in the sample space when three officers; president, secretary and treasurer, are to be chosen?


There is something wrong in the wording of your first problem. Not every integer greater than or equal t0 1 is divisible by 3.

For your second question if you are to select a president, secretary and treasurer from 4 people then you are leaving 1 person without a position. Thus the number of ways of selecting 3 people from 4 people is the same as the number of ways of selecting 1 person from 4 people. How many ways are there of selecting 1 person from 4?


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