You appear to have "lost a sign". In your Venn diagram, you have let x be the (unknown) number of people who did all three asignments. Since 108 did the first and second assignments, yes, 108- x must have done ONLY the first and second. Since 83 people did the first and third assignments, yes, 83- x must have done ONLY the first and third. If you let y= the number of people who did only the first assignment, then y+ (108-x)+ (83- x)+ x= 166. That is, y+ 191- x= 166 so y= x- 25, NOT 25- x.Haki said:
HallsofIvy said:
To solve a counting problem, it is important to first understand the question and break it down into smaller, more manageable parts. In this case, we would need to determine what qualifies as an "unfinished" student and how to accurately count them.
When solving a counting problem, it is important to consider the variables or factors that may affect the outcome. For example, in this problem, we would need to consider factors such as the total number of students, the number of students who have completed the task, and any other criteria that determine an "unfinished" student.
There are several methods that can be used to solve a counting problem, such as using diagrams, tables, or equations. It is important to choose a method that best suits the problem and helps organize the data in a clear and logical way.
Yes, technology can be a useful tool in solving counting problems. For example, spreadsheets or programming languages can help automate the counting process and make it more efficient. However, it is still important to understand the problem and choose the appropriate method before using technology.
One way to check the accuracy of your solution is to use a different method or approach to solve the problem. This can help identify any errors or inconsistencies in the data. You can also double-check your calculations and make sure they align with the given criteria and assumptions.
