Blog

Use the following Venn Diagram about the number of students who play each of the sports to answer the questions below. a.  How many students play all 3 sports?  [a] b.  How many students do not play either Hockey and Handball?  [b] c.  How many students play Hockey and Baseball?  [c] d.  How many students play Handball or Hockey?  [d] e.  How many students were interviewed?  [e]  

A guidance counselor is planning schedules for 40 students. 19 students want to take Algebra (A) 24 want to take Biology (B) 15 want to take Chemistry (C) 8 want Biology and Algebra 2 want Algebra and Chemistry, but not Biology 10 want Biology and Chemistry, but not Algebra 12 want Biology and Chemistry Remember: A = Algebra B = Biology C = Chemistry Fill in the number of students for each of the numbered areas (labeled in red)  Area 1 [1]                    Area 2 [2] Area 3 [3]                    Area 4 [4] Area 5 [5]                    Area 6 [6] Area 7 [7]                    Area 8 [8]

How many proper subsets does the following set have? T = {m, a, t, h, i, s, #, 1}  Express answer as a Natural Number 

Given: n(A) = 15   and   n(B) = 23  a.   What is the minimum possible number of elements in A ∩ B?    [A]b.   What is the minimum possible number of elements in A ∪ B?    [B]

List all the proper subsets of the set  G= {g, e, m} Be sure to write your answer using proper notation.

Karen asked 60 coffee drinkers whether they like cream and/or sugar in their coffee.  Twelve said they like both, twenty-nine said they like cream and eight said they like it black. HINT:  Draw a Venn Diagram to help solve the problem. a.  How many drinkers like only sugar in their coffee? [a] b. How many drinkers do not like cream in their coffee?  [b]

If U = {x|x is all people}   and   A = {x|x is a man}  and   B = {x|x is a teacher} then which of the following is the best description of :     

Given: n(A) = 15   and   n(B) = 23  a.   What is the maximum possible number of elements in A ∩ B?    [A]b.   What is the maximum possible number of elements in A ∪ B?    [B]

How many one-to-one correspondences are there between the sets {x, y, z, u, v} and {2, 4, 6, 7, 9} if in each correspondence x must correspond to 7 and  y must correspond to 9?

The following table contains data from a study of two airlines which fly to a small town in USA. If a flight is selected, find P (OnTime and Big Name Airlines).   Number of Airlines that are On Time vs. Late OnTime Late Low Budget Airlines 33 6 Big Name Airlines 43 5