Survey 130 students. 60 take CS, 80 take Mathematics, 40 take Physics, 20 take both CS and Math, 20 take both CS and Physics, 30 take both Math and Physics. How many students take courses in all three areas? Show your work in sufficient detail and make sure you use the proper notations for sets and set operations. (Hint: |AB| = |A| + |B| - |AB|)

Q: The student council at a college is made up of five freshmen, six sophomores, seven juniors, and…

A:

Q: Find (a) the number of subsets and (b) the number of proper subsets of the set. {x|x is an even…

A: A set is defined as the collection of a well-defined object. A is said to be a subset of B if all…

Q: Find the sets A and B if A – B = {1, 5, 7, 8}, B – A = {2, 10}, and A nB = {3,6,9}. %3D

A:

Q: Roster

A: Here we need to deal with the set of natural numbers.We know that the set natural numbers are the…

Q: Use the given information to find n(A× B) and n(B × A). n(A) = 67 and n(B) = 4 Find the number of…

A: Note:- Cartesian product of two sets is obtained by pairing each element of first set with each…

Q: find (a) the number of subsets and (b) the number of proper s {x|x is an odd integer between - 6 and…

A: x|x is an odd integer between -6 and 6=-5, -3, -1, 1, 3, 5

Q: Which of the following sets are the empty set? {heart, spade} N {joker, wild, reverse} {heart,…

A: topic - sets  intersection of sets is the set thta contains elements common to both sets. union of…

Q: Write the expression that is being represented by the left side of the balance scale model: Blank 1…

A:

Q: Let set A={-6, -12/4, -5/8, 3,0, z}. List all the elements of A that belongs each set. Natural…

A:

Q: 11. For all sets A, B, and C, AN (B-C) C (A N B)– (A N C).

A: We use basic formula of set theory like A – A = Ø  B – A = B⋂ A’ B – A = B – (A⋂B) n(AUB) = n(A – B)…

Q: Write the definition of A x B, where A and B are sets A x B = { }.

A: We want to define A x B

Q: The Ogburn School Pre-Algebra_Algebra Turning in your work! You must turn in your homework for…

A: The objective of the question is to understand the concept of substitution in mathematics and to…

Q: How many different ways can you arrange the lefts in the word BRAGS? List them

A:

Q: Q7Which option is equivalent to the expression below: a|b & c|~d   and ( or (a ,b , c , not(d)…

A: Definition: The symbol for and is: & or && The symbol for or is: | or || The symbol for…

Q: Determine the mode of the set of values. (Enter your answers as a comma-separated list. If there is…

A:

Q: Fill in the blank with either E or to make the statement true. {9}_ _{8 +1,9 + 1} Select the correct…

A: