Two different size circles can intersect in at most 2 points. Three different size circles can intersect in at most 6 points. Four different size circles can intersect in at most 12 points. Five different circles can intersect in at most 20 points. Predict the maximum number of points in which 9 different size circles can intersect.

Two different size circles can intersect in at most 2 points. Three different size circles can intersect in at most 6 points. Four different size circles can intersect in at most 12 points. Five different circles can intersect in at most 20 points. Predict the maximum number of points in which 9 different size circles can intersect.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element...

See similar textbooks

Similar questions

The number of 5-element subsets from a set containing n elements is equal to the number of 6-element subsets from the same set. What is the value of n? (Hint: the order in which the elements for the subsets are chosen is not important.)
Two different lines can intersect in at most one point. Three different lines canintersect at most three points, four lines can intersect in at most six points, andfive lines can intersect at most-points. Determine the maximum number ofintersections for six different lines.
A bag contains 10 red marbles, 10 white marbles, and 10 blue marbles. What is the minimum number of marbles that need to be picked to ensure that at least 8 marbles have the same color?
Eight political committees must meet on the same day, but some members are on more than one committee. Thus, any committees that have member in common cannot meet at the same time. An "X" in the table indicates that the two corresponding committees share a member. Determine the minimum number of meeting times that will be necessary so that all members can attend the appropriate meetings.
Once a computer worm infects a personal computer via an infected e-mail message, it sends a copy to 25-e-mail addresses it finds in the electronic message mailbox on this personal computer. What is the maximum number of different infected computers in the time it takes for the infected message to be forwarded six times? Note: You should count the total of infected computers including the initial one.
Given a cube that has a side length of one, find out the greatest number of points that can be put into the cube (located on faces or edges) so that for any 2 points they are at least one length apart from each other. To show that there is a k, number, you will have to draw k points that are all one apart and provide proof that a collection of k+1 points has 2 points that are > one apart.
Determine the least number of rows that the National Assembly Hall of Belize will accommodate in the new proposed building plan, if the hall must seat a total of fortyeight (48) members. The architect has made it clear that the firstrow in the hall will seat three (3) members and each successive row will seat anadditional two (2) members.
A bag contains 25 balls such as 10 balls are red, 7 are white and 8 are blue. What is the minimum number of balls that must be picked up from the bag blindfolded (without replacing any of it) to be assured of picking at least one ball of each colour? provide solution with answer
In a plastic bag there are 12 white marbles, 7 green marbles, and 8 blue marbles. What is the minimum amount taken so that there are at least 6 marbles of the same color?
What is the minimum number of balls that we need to draw to ensure that we get at least 3 balls which end with the same digit (i.e., all three balls have the same digit in their ones place)?
what is the minimum perimeter of a triangle with sides 11 and 14 if the other side is limited to an integer?
A witness on a hit and run incident cannot recall the whole plate number of the car who hit an old woman trying to walk across the pedestrian lane. The only thing he remembered is that the plate number starts with TIP and the last three digit numbers are made up of different numbers and cannot be remembered clearly. Determine the maximum number of ways (plate number) that a police need to check.