In a survey of 1244 families conducted by a marketing agency in a particular city, the following information was obtained. 520 families have a TV, 416 families have a computer, 320 families have a projector, 152 families have a TV and a computer, 96 families have a TV and a projector, 124 families have a Computer and a projector and 60 families have all the three. How many families do not have any of the three? Maximum file size: 250MB, maximum number of files: 1
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
![In a survey of 1244 families conducted by a marketing agency in a particular city, the following
information was obtained.
520 families have a TV, 416 families have a computer, 320 families have a projector, 152 families
have a TV and a computer, 96 families have a TV and a projector, 124 families have a Computer and
a projector and 60 families have all the three.
How many families do not have any of the three?
Maximum file size: 250MB, maximum number of files: 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48954537-9033-48fe-a1d5-25fbf1161c5b%2F294629c4-dcce-4bf2-a6d4-b8371eb17d2f%2F5lnw52_processed.jpeg&w=3840&q=75)
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