Create a circular table with no restrictions, Mathematics

1. Four different written driving tests are administered by a city. One of these tests is selected at random for each applicant for a drivers license. If a group of 2 women and 4 men apply, find the number of ways:

(a) exactly 3 of the 6 people will take the same test.

(b) the 2 women take the same test.

(c) all 4 men take different tests.

2. How many binary strings (strings of 0s and 1s) contain exactly five 0s and 14 1s if every 0 must be immediately followed by two 1s?

3. In how many ways can 6 men and 4 women sit down around a circular table

(a) with no restrictions?

(b) if women can not sit directly next to each other?

(c) if all 6 men must sit consecutively?

4. Consider passwords consisting of a string of 4 characters, each selected from (A,B,C,D,E, F,G)

(a) How many passwords contain at least one A if repetition of characters is not allowed? An example of such a password is BAGF.

(b) How many passwords contain at least one A if repetition of characters is allowed? An example of such a password is BAAF.

(c) How many passwords are there if consecutive characters can not be identical, but repetition of characters is allowed? An example of such a password is ABAF.

(d) How many passwords contain exactly two As if repetition is allowed?

5. Let A = (1, 2, 3, 4, 5, 6) and B = (1, 2, 3, 4, 5, 6, 7, 8). How many binary relations from A to B contain the ordered pair (2, 5) but do not include the ordered pair (3, 3)? How many of the binary relations that you counted are also functions?

Posted Date: 4/6/2013 3:43:10 AM | Location : United States







Related Discussions:- Create a circular table with no restrictions, Assignment Help, Ask Question on Create a circular table with no restrictions, Get Answer, Expert's Help, Create a circular table with no restrictions Discussions

Write discussion on Create a circular table with no restrictions
Your posts are moderated
Related Questions
Using the formulas and properties from above find out the value of the subsequent summation. c The first thing that we require to do here is square out the stuff being summe

The Lognormal Distribution If ln(X) is a normally distributed random variable, then X is said to be a lognormal variable. If P1, P2, P3, ... are the prices of a scrip in per

use an expression to write an expression with five 3s that has a value of 0


how many numbers must be selected from the set A={1, 3, 5, 7, 9, 11, 13, 15}to guarantee that at least one pair of these numbers add up to16? Explain and justify your answer

40.783-75

Estimate the Slope of a Line? The slope of a line is a measure of how steep it is. It is defined as y 2 - y 1 /x 2 -x 1 Where (x 1 , y 1 ) and (x 2 , y 2 ) are any two p

the cost of paint used in a redecorating job is $65.70 .This is a reduction from its original cost of $82.13 .What is the percent decrease in the cost of paint to the nearest perce


Find an integrating factor for the linear differential equation and hence ├ľnd its general solution: SOLVE T^ 2 DY DX+T2