Suppose there are x walls and you have n fixed paint colors. How many ways can you paint the walls if you must choose 2 of the colors available ?
Suppose there are x walls and you have n fixed paint colors. How many ways can you paint the walls if you must choose 2 of the colors available ?
Suppose we want to choose 4 colors, without replacement, from 16 distinct colors. (a) How many ways can this be done, if the order of the choices does not matter? x 6 ? (b) How many ways can this be done, if the order of the choices matters?
If q colors are available, how many ways can a. the vertices of a tetrahedron be painted? b. the edges of a tetrahedron be painted?
please illustrate each stepbof the solution so I can
understand
thank you
4) Given the diagram 2 7 3 6 4 (a) Up to symmetries, in how many ways can we paint the numbered vertices, if two colors (red and blue) are available? (b) How many ways, if additionally we want that at most two numbered vertices are painted red?
4) Given the diagram 2 7 3 6 4 (a) Up to symmetries, in how many ways can we paint...
Consider the following problem: How many ways are there to paint 10 identical houses on a street with five colors if at most three houses can be painted blue, at most three can be painted green, at most three can be painted beige, and no constraint is placed on the other two colors, brown and gray? A student claims that the generating function for this problem is g(x) = (1 + x +x2 + r3)3(1 + x + r2 +...
A box of colored crayons contains 11 distinct colors. In how many ways can 8 colors be chosen, assuming that the order of the colors chosen doesn't matter?
How many ways can the letters of the word KITCHEN be arranged? How many ways can the letters of the word KITCHEN be arranged if the letters H, E, and N must remain next to each other in the order HEN? If all arrangements of the letters of the word KITCHEN are equally likely, what is the probability that an arrangement will have the letters H, E, and N next to each other in the order HEN? How many ways...
4. How many ways can you choose three toppings from 10 different toppings available at a Pizza delivery store? Also if you are ranking the three toppings chosen out of 10 toppings, how many different ways are possible? 5. If 40 % of all commuters ride to work in carpools, find the probability that exactly 4 will ride in carpools out of 10 workers? Also find the probability that nobody will ride in carpools out of 10 workers? 6. If...
Suppose you have 6 men and 8 women in a room. A) How many ways can you select a 6 person jury if there are no restrictions?(2) b) What is the probability that a randomly selected jury will have exactly 3 women?(2) c) What is the probability that a randomly selected jury will have no men? (2)
I have nine different programming textbooks on my bookshelf, five C++ and four Java. In how many ways can I arrange the books a) if there are no restrictions? b) ifthe languages should alternate? c) if all the C++books must be next to each other? d) if all the C++books must be next to each other and all the Java books must be next to each other? 1. 2. Suppose that you draw five cards from a standard deck of...
How many ways can a millionaire choose the vehicle he will drive knowing that Do you have at your disposal 3 sports cars, 3 trucks and 3 motorcycles?