Combinatorics easter problem, show all your work.
a. I have one dozen eggs to color for Easter. I can color each one red, yellow, blue, green, or orange. How many ways are there to do this?
b. I colored the eggs from part a. I now have 5 red eggs, 3 blue eggs, 1 green egg, and 3 orange eggs. (I did not color any yellow) Aside from their color, they are identical. I have 12 different hiding spots, each big enough for 1 egg. How many ways are there to hide the eggs?
Combinatorics easter problem, show all your work. a. I have one dozen eggs to color for...
Combinatorics problem, show all work. a. A flag is to be designed with 10 stripes. The strips can be red, yellow, or blue. No stripe should be the same color as the one below it. How many ways are there to color the flag? b. How many sets of 3 different numbers each can be formed from the numbers {1, 2, 3, ..., 19, 20} if no 2 consecutive numbers are to be in a set?
A combinatorics problem to get a classroom ready. Show all your work. a. I have 60 students and I'm going to give each one a single gumdrop. One is all you need. There are 6 flavors. How many possible ways can the students get their sugary candy? b. I have 16 identical white teacups. I hate white teacups! I am going to paint them. I can paint each one Ivory, Cream, Eggshell, Lace, Bone, or Vanilla. How many ways are...
Combinatorics problem, show all work. a. There are 25 varieties of cereal and I'm going to pick six different kinds to bring home to the family. How many ways can I do that? b. Forty students compete in an essay contest. There will be a blue ribbon, a red ribbon, and a yellow ribbon (for first, second, and third place) and four "honorable mentions" that get white ribbons. How many ways are there to award prizes to the students.
math proof - 1
Problem I. (a) Let R be an 82 × 4 rectangular matrix each of whose entries are colored red, white or blue. Explain why at least two of the 82 rows in R must have identical color patterns (b) Conclude that R contains four points with the same color that form the corners of a rectangle. (c) Now show that the conclusion from part (b) holds even when R has only 19 rows. Hint: How many...
2. For each of the following combinatorial problems, give a function G(x) and a value of k such that the answer to the problem is the r coefficient of G(x) (e.g. if I had asked how many subsets of size 7 there are of a set of size 10, one answer would be "The z7 coefficient of "). 2c. I have a drawer containing 5 identical red beads, 6 identical blue beads, and 4 identical green beads. How many ways...
Combinatorics problem, show all work. 6. We are seating 13 people on one side of a rectangular table (like Da Vinci's painting of the Last Supper.) a. How many ways can we seat them? b. How many ways can we do it if Doug refuses to sit next to Gordon? c. How many ways can we do it if Doug insists on sitting to the right of Gordon (not necessarily next to him)*? *For this part, I may sit next...
Write this is Java. The program will randomly select a color from one of the 5 green red blue yellow orange. And ask you to guess which was randomly selected. It will select a random color by choosing a random number from 0-4 0 can represent green and 1 red. It will ask you to guess the color randomly selected and reveal what it chose after you guessed. After it will do the same 10 times loop and will display...
Please explain any background knowledge and approach to this
problem! Very confused about this, my answers are all incorrect and
I do not have a key!
d) Of the following complex ions: [FeCl614-, [Fe(CN)6]4-, [Fe(H2O)e12+, [Fe(NH3)e]2+ one appears violet, one yellow, one blue-green and one orange. Assign which is which using the spaces below. Use the color wheel to answer the question (12pts). 1S0 nm,400 nm Red Violet Write Complex lon Below Given the Color of complex 630 nm 430...
Complete the following problem. You do not need to show work, but please number your answers so that they correspond to the questions below. A jar of candy contains 115 white, 75 green, 95 blue, 60 yellow, 45 orange, 50 pink and 55 red pieces. What is the probability of drawing a yellow? What are the odds in favor of drawing a yellow? Explain how you could have obtained the answer for number 2 by only looking at the answer...
Find the number a Show your work. ssistentes for "cach situation using a list, free diagram or table. " You olla her cute s mes.llow many Many wies are possible? 2. Carmen has a deck of cards wwwbe wutcomes are possible! Wheted10She picks one card and flips a coin. How many 3. Kendall has three jars of poll' balls. O orange and purple golf ball. The third Ball from cach jar Iwany outcomes arep & Oriejar has a white and...