If A is a finite set containing n elements then the number of subsets of A is ____________ Let a finite set A contain n elements. The total number of subsets of a set having n elements is given by: \[ 2^n \] This includes: The empty set \((\emptyset)\) The set itself Answer \[ \boxed{2^n}

If A and B are two finite sets, then n(A) + n(B) is equal to _________ If A and B are two finite sets, then \[ n(A \cup B) = n(A) + n(B) – n(A \cap B) \] Therefore, \[ n(A) + n(B) = n(A \cup B) + n(A \cap B) \] Answer \[ \boxed{n(A

Find How Many Liked Product P3 Only Find How Many Liked Product P3 Only Question: In a survey it was found that 21 persons liked product P1, 26 liked product P2 and 29 liked product P3. If 14 persons liked products P1 and P2; 12 persons liked products P3 and P1; 14 persons liked products

Find Students Studying Hindi and English-Hindi Find Students Studying Hindi and English-Hindi Question: In a survey of 100 students, the number of students studying the various languages were found to be: English only = 18, English but not Hindi = 23, English and Sanskrit = 8, English = 26, Sanskrit = 48, Sanskrit and Hindi

Find How Many Read None and Magazine C Only Find How Many Read None and Magazine C Only Question: In a survey of 100 persons it was found that 28 read magazine A, 30 read magazine B, 42 read magazine C, 8 read magazines A and B, 10 read magazines A and C, 5 read

Find How Many Watch All Three Games Find How Many Watch All Three Games Question: A survey of 500 television viewers produced the following information: 285 watch football, 195 watch hockey, 115 watch basketball, 45 watch football and basketball, 70 watch football and hockey, 50 watch hockey and basketball, 50 do not watch any of

Find Hindi Only, Bengali Only and Both Speakers Find Hindi Only, Bengali Only and Both Speakers Question: In a group of 1000 people, there are 750 who can speak Hindi and 400 who can speak Bengali. How many can speak Hindi only? How many can speak Bengali only? How many can speak both Hindi and

Find Total Members in Three Athletic Teams Find Total Members in Three Athletic Teams Question: Of the members of three athletic teams in a certain school, 21 are in the basketball team, 26 in hockey team and 29 in the football team. 14 play hockey and basketball, 15 play hockey and football, 12 play football

Find People Who Read Newspapers H, T and I Find People Who Read Newspapers H, T and I Question: In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8

Find How Many Drink Tea and Coffee Find How Many Drink Tea and Coffee Question: In a group of 50 persons, 14 drink tea but not coffee and 30 drink tea. Find: (i) how many drink tea and coffee both (ii) how many drink coffee but not tea. Solution (i) \[ n(T)=n(T-C)+n(T\cap C) \] \[