One way is to use coins and trace 10 circles which may or may not overlap depending on the intersections of your sets. It does get messy with lots of them. Some people use rectangles instead since they are easier to draw when you have so many.
Number of subsets with no members = 1Number of subsets with one member = 5.Number of subsets with 2 members = (5 x 4)/2 = 10.Number of subsets with 3 members = (5 x 4 x 3 /(3 x 2) = 10.Number of subsets with 4 members = (5 x 4 x 3 x 2)/(4 x 3 x 2) = 5.Number of subsets with 5 members = 1Total subsets = 1 + 5 + 10 + 10 + 5 + 1= 32.A set with n elements has 2n subsets. In this case n = 5 and 25 = 32.The proof in the case that n = 5 uses a basic counting technique which say that if you have five things to do, multiply together the number of ways to do each step to get the total number of ways all 5 steps can be completed.In this case you want to make a subset of {1,2,3,4,5} and the five steps consist of deciding for each of the 5 numbers whether or not to put it in the subset. At each step you have two choices: put it in or leave it out.
Well, honey, a set with 10 elements will have 2^10 or 1024 subsets in total. Now, if we want to count just the subsets with an odd number of elements, we need to consider that for each element, you have the option of including it or not. So, you're looking at 2^9 or 512 subsets with an odd number of elements. Hope that clears things up for ya, darling.
That is the same as asking 15C10 which is 3003. It is 15! divided by (15-10)!(10!) This is 15x14x13x12x11 divided by 5x4x3x2x1 or divided by 120 or 360360=3003
Draw a 10 x 20 rectangle.
You have three choices at a time without repeats. To do this multiply 10x9x8=720. This will give you duplicates, so divide the result by 1x2x3.
be smart
No, you shouldn't because you really only use a venn diagram to compare and contrast. And 5s and 10s are really the same thing. For example 5x2=10 10x1=10.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000 Draw a circle around them.
if theres 40 students in all,17 ride on an airplane,28 ride on a boat,10 on a train,12 on both airplane and boat,4 ride on an airplane only,3 ride only on a train?show it on a venn diagram?
5 subsets of 4 and of 1, 10 subsets of 3 and of 2 adds up to 30.
512 subsets
10
Put 10, 20, 30, 40, 50, 60, 70 , 80 in the left circle. Put 1, 2, 4 in the right circle.
A set with 50 elements has 250 subsets.
Put 2 and 10 in the left circle. Put 25 in the right circle. Put 1 and 5 in the space where they overlap. Since 5 is the greater of these two numbers, it is the GCF.
Draw overlapping circles. Put 4, 8, 12, 20, 24, 40, 60, 120 in the left circle. Put 25, 50, 75, 150 in the right circle. Put 1, 2, 3, 5, 6, 10, 15, 30 in the space where they overlap.
To create a Venn diagram showing the factors of 12 and 20, you would first list out all the factors of each number separately. The factors of 12 are 1, 2, 3, 4, 6, and 12, while the factors of 20 are 1, 2, 4, 5, 10, and 20. In the Venn diagram, you would place the factors of 12 in one circle and the factors of 20 in another circle, with the overlapping region representing the common factors, which in this case are 1, 2, and 4.