In a group of 20 people who like rock, country, and classical music, 14 like rock, 17 like classical, 11 like both rock and country, 9 like both rock and classical, 12 like both country and classical, and 8 like rock, country, and classical.
how many like country

There are 13 people who like country music.

Step-by-step explanation:

Since we have given that

Number of people who like rock n(A) = 14

Number of people who like classical n(B) = 17

Let the number of people who like country n(C) be 'x'.

Number of people who like both rock and country = 11

Number of people who like both rock and classical = 9

Number of people who like both country and classical = 12

Number of people who like rock, country and classical = 8

As we know the formula:

n(A∪B∪C)=n(A)+n(B)+n(C)-n(A∩B)-n(B∩C)-n(C∩A)+n(A∩B∩C)

Hence, there are 13 people who like country music.

5

step-by-step explanation:

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.