Suppose we want to choose 4 colors, without replacement, from 16 distinct colors. (a) How many...
Suppose we want to choose 2 objects, without replacement, from the 4 objects pencil, eraser, desk, and chair. (a) How many ways can this be done, if the order of the choices matters? х ? 0 (b) How many ways can this be done, if the order of the choices does not matter?
Suppose we want to choose 7 objects, without replacement, from 11 distinct objects. (a) How many ways can this be done, if the order of the choices is not relevant? Х 5 ? E (b) How many ways can this be done, if the order of the choices is relevant? 0
Suppose we want to choose 4 letters, without replacement, from 17 distinct letters. (a) How many ways can this be done, if the order of the choices is not taken into consideration? x 6 ? (b) How many ways can this be done, if the order of the choices is taken into consideration? A teacher wanted to fairly choose three students from a class of 24 to raise the school's flag. He assigned each student a two-digit number from 01...
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?
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 ?
If the order of objects is not of importance, how many ways can nineteen objects be selected three at a time? Why is this result different from the result when order matters?There are blank different ways to select three objects at a time. (Type a whole number.) Explain why this result is different from the result when order matters. Choose the correct answer below. A. When order does not matter, picking the first object before the second object is the...
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...
3. Suppose my graph theory class has 12 different students, of which 6 are under- grads and 6 are graduate students. (a). How many ways can I choose at least 4 but no more than 8 of my students to take a field trip to the library? (b). I want to repeat part (a), but I want to be sure to take at least 2 undergrads. (c). I have 3 different final projects for them to work on (projects A,...
please provide the answers clearly 4. How many distinct permutations are there of the letters in the word (a) great? (b) State which theorem from the text is applicable to solving part (a) (c) greet? (d) probability? e) State which theorem from the text is applicable to solving part (d). (f) probability that begin and end with the letter b? 5. A college football team plays 10 games during the season. In how many ways can it end the season...
In how many ways can a committee of size 12 be formed from 20 people? Assume that, when people are chosen for a committee, the order of the choices does not matter