SOLUTION: There are 24 students in a class. Each student is wearing either a hat or gym shoes or both.
16 are wearing hats
20 are wearing shoes
How many are wearing both?
Algebra ->
Permutations
-> SOLUTION: There are 24 students in a class. Each student is wearing either a hat or gym shoes or both.
16 are wearing hats
20 are wearing shoes
How many are wearing both?
Log On
Question 847786: There are 24 students in a class. Each student is wearing either a hat or gym shoes or both.
16 are wearing hats
20 are wearing shoes
How many are wearing both? Answer by Edwin McCravy(20056) (Show Source):
There are 24 students in a class. Each student is wearing either a hat or gym shoes or both.
16 are wearing hats
20 are wearing shoes
How many are wearing both?
Use the formula: N(A or B) = N(A) + N(B) - N(A and B)
Where N() means the number of
A is the event of wearing a hat.
B is the event of wearing gym shoes.
N(A or B) = N(A) + N(B) - N(A and B)
24 = 16 + 20 - N(A and B)
24 = 36 - N(A and B)
N(A and B) = 12
Edwin
