Combinations and subsets

A commettee consists of 8 married couples. In how many ways can a subcommitee of 5 people be chosen so that at most one married couple belongs to the subcommittee?

Permutation

Some boys come into a room and sit in a circle. Four girls come in and arrange themselves between 2 of the boys, that is , the 4 girls join the circle, but all sit together. If there are 2880 different circles that could be formed in this way, how many boys are there?

Counting problems/trees

In one residence, cell phones, lap top computers and digital tvs are very popular among students. In fact, all of the students own atleast one of these items, although onlu 15 own all 3. Cell phones are the most popular with twice as many students owning cell phones as own lap tops. and digital tvs are still rare, since only hal ...continues

Probability

1. The following table, based on the data from the Centers for Disease Control, gives the number of new cases of the AIDS virus for men and women in the United States in 1998 by method of transmission. Method of Transmission Male Female Total Homosexual contact 8388 ...continues

Problem Set

How much do you think you will need to retire comfortably at age 60? Would you believe that you’re going to need at least $4,000,000? Assuming you’re 18-25 years old (or younger), it’s true! Sounds hard to believe, but by the end of this discussion, you should be a believer. The first thing you need to do is define “comforta ...continues

Maximizing with Constraints

I have the following problem that I can't figure what the four contraints are. I let x=number of landscapes, y=number of seacapes. Since he can not paint a negative number of paintings, I have two of the four contraints x>=0 y>=o The objective equation is z = 25x + 30y An artist is painting a supply of small paintings ...continues

12 question need to be solved

(See attached file for full problem description with proper equations) 1. Solve the equation. 3(6 - 3x) = 1/27 2. Use natural logarithms to evaluate the logarithm to the nearest hundredth. log√4 ^259.5 3. Solve the problem. Sonja and Chris both accept new jobs on March 1, 2001. Sonja starts at $45000 ...continues

A system comprising a rod with springs connected at each end. To calculate the deflection of springs using statis equilibrium and minimum potential energy concepts.

Deflection of springs. See attached file for full problem description.

Show that 937 is a inverse of 13 modulo 2436.

Show that 937 is a inverse of 13 modulo 2436.

5 Basic Finite Math Problems

Also as you can see in the attachments please change: page: 177 #1 x/nx page 230 #56. x + .04t(2nd power) + 3t + 5 page 269 #34 R(x) = 300/n (4x+1) page 303 #20 $125