Question

a survey of 112 high school students determined whether they used instagram, twitter, or facebook. the provided information was determined.
64 used instagram. 60 used twitter
73 used facebook 31 used instagram and twitter
40 used instagram and facebook 39 used twitter and facebook
20 had all three features.
complete parts a) through e)

a) how many of the students surveyed used only instagram?
13 (type a whole number.)
b) how many of the students surveyed used instagram and twitter, but not facebook?
(type a whole number.)

Explanation:

Step1: Identify the formula for the intersection of two sets excluding the third.

To find the number of students who used Instagram and Twitter but not Facebook, we use the formula: \( n(Instagram \cap Twitter \cap
eg Facebook) = n(Instagram \cap Twitter) - n(Instagram \cap Twitter \cap Facebook) \)

Step2: Substitute the given values.

We know that \( n(Instagram \cap Twitter) = 31 \) and \( n(Instagram \cap Twitter \cap Facebook) = 20 \).
So, \( 31 - 20 = 11 \)

Answer:

11