Hello I need some help with these questions.
A survey of 115 children found that
39 liked The Little Mermaid
43 liked 101 Dalmatians
56 liked Mickey Mouse
7 liked The Little Mermaid and 101 Dalmatians
10 liked The Little Mermaid and Mickey Mouse
16 liked 101 Dalmatians and Mickey Mouse
4 liked all three
Question 1: How many students liked ONLY 101 Dalmatians?
My answer 24
Question 2: How many liked the Little Mermaid but NOT Mickey Mouse?
My answer 26
Question 3: How many students did NOT like Mickey Mouse?
My answer 50
Am I correct?
Thank you for your help!!
None of your answers is correct.
I am kinda confused with these questions.
Would #2 be 29? And #3 be 6?
Question 2: How many liked the Little Mermaid but NOT Mickey Mouse?
How did you get 26??
Question 3: How many students did NOT like Mickey Mouse?
How did you get 50? or 6?
isn't question 1, 43??
Would these be the right answers?
1. 16
2. 29
3. 41
To confirm your answers, let's use the principle of Inclusion-Exclusion to find the correct responses.
Question 1: To find the number of students who liked ONLY 101 Dalmatians, we need to subtract the number of students who liked both The Little Mermaid and 101 Dalmatians, as well as those who liked all three movies, from the total number of students who liked 101 Dalmatians.
Total students who liked 101 Dalmatians = 43
Students who liked both The Little Mermaid and 101 Dalmatians = 7
Students who liked all three movies = 4
Total students who liked ONLY 101 Dalmatians = 43 - 7 - 4 = 32
Therefore, the correct answer to Question 1 is 32, not 24.
Question 2: To find the number of students who liked The Little Mermaid but NOT Mickey Mouse, we need to subtract the number of students who liked both The Little Mermaid and Mickey Mouse, as well as those who liked all three movies, from the total number of students who liked The Little Mermaid.
Total students who liked The Little Mermaid = 39
Students who liked both The Little Mermaid and Mickey Mouse = 10
Students who liked all three movies = 4
Total students who liked The Little Mermaid but NOT Mickey Mouse = 39 - 10 - 4 = 25
Therefore, the correct answer to Question 2 is 25, not 26.
Question 3: To find the number of students who did NOT like Mickey Mouse, we need to subtract the number of students who liked Mickey Mouse, as well as those who liked both The Little Mermaid and Mickey Mouse, and those who liked 101 Dalmatians and Mickey Mouse, from the total number of students.
Total number of students = 115
Students who liked Mickey Mouse = 56
Students who liked both The Little Mermaid and Mickey Mouse = 10
Students who liked 101 Dalmatians and Mickey Mouse = 16
Students who liked all three movies = 4
Total students who did NOT like Mickey Mouse = 115 - 56 - 10 - 16 - 4 = 29
Therefore, the correct answer to Question 3 is 29, not 50.
Please note that your initial answers were not accurate, but now you have the correct responses.