# Math

Of 30 students, 12 play football, 17 play soccer, and 5 play both, how many play neither?

1. 👍 2
2. 👎 0
3. 👁 1,395
1. You can use a Venn Diagram

12 - 5(0verlap) = 7 football
17 - 5 = 12

Add up 7 + 12 + 5 =
subtract from 30

1. 👍 1
2. 👎 1
2. 12+17-5+neither = 30
neither = 30-24 = 6

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2. 👎 0
3. je ne sais pas

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2. 👎 2
4. 6 play neither

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2. 👎 0
5. 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

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6. Of the 20 students in a class, 17 play soccer and 10 play volleyball. How many
students play both soccer and volleyball?

1. 👍 1
2. 👎 0
7. 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

1. 👍 0
2. 👎 0
8. 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.

1. 👍 0
2. 👎 0

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