Of 30 students, 12 play football, 17 play soccer, and 5 play both, how many play neither?
12+17-5+neither = 30
neither = 30-24 = 6
You can use a Venn Diagram
12 - 5(0verlap) = 7 football
17 - 5 = 12
Add up 7 + 12 + 5 =
subtract from 30
6 play neither
Of the 20 students in a class, 17 play soccer and 10 play volleyball. How many
students play both soccer and volleyball?
Since 12 play football and 17 play soccer we add those up and subtract to find how many do not play any and then since the 5 students play both we could just add it what we got by adding 17 and 12 and then subtracting it from 30 which gives you 1, so therefore 1+5= 6. So 6 students played neither.
12+17= 29
30-29= 1
1+5=6
2.1 Given : 𝑆 = {1,2,3, … ,20}, 𝐴 = {1,2,3, … ,10}, 𝐵 = {2,4,6, … ,20}, 𝐶 =
{5𝑥: 𝑥 𝑖𝑠 𝑎𝑛 𝑖𝑛𝑡𝑒𝑔𝑒𝑟, 2 ≤ 𝑥 < 4}.
Find
2.1.1 𝐴
𝑐 ∩ 𝐵
𝑐
2.1.2 𝑛(𝑐)
2.1.3 (𝐴⨁𝐵) ∩ 𝐶
2.1.4 𝐴 − 𝐵
2.1.5 𝐴
𝑐 ∪ 𝐵
A recent survey on 70 students at NUST ,who cannot access online classes due to the
COVID 19 restrictions, 30 takes Accounting(A), 55 takes Basic Mathematics(B). Five
students takes neither Accounting nor Basic Mathematics and y students takes both
subjects.
Im 23 an my names Mclovin
To find out how many students play neither football nor soccer, we need to subtract the number of students who play either football or soccer or both from the total number of students.
First, add the number of students who play football (12) to the number of students who play soccer (17), which gives 29. However, we can't simply subtract 5 (the number of students who play both) from this sum because it would result in double counting those students.
To correct for this, we need to subtract the number of students who play both from the sum of those who play just football and those who play just soccer.
Let's break it down step by step:
1. Number of students who play football only = Total number of students who play football - Number of students who play both = 12 - 5 = 7.
2. Number of students who play soccer only = Total number of students who play soccer - Number of students who play both = 17 - 5 = 12.
Now, add the number of students who play football only (7) to the number of students who play soccer only (12):
7 + 12 = 19.
Therefore, out of the 30 students, 19 play either football or soccer or both. To find the number of students who play neither, subtract this from the total number of students:
30 - 19 = 11.
Therefore, 11 students play neither football nor soccer.