Suppose there are 10 students in a classroom. If they have to stand in a line, how many different ways of standing are there?
Suppose there are 10 students in a classroom. If they have to stand in a line,...
15) A classroom consists of 6 boys and 5 girls. A group of 4 students will be selected to work on a project. The group must include at least 1 boy and at least 1 girl. In how many different ways can this group be formed?
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...
I have 5 different grades that I can give students. If I have 10 students, how many ways can grades be distributed?
There are 20 students in a classroom. 12 of the students have black hair, 6 of the students have blonde hair, and 2 of the students have red hair. 2 of the students are chosen randomly. (i) (i) (iii) Calculate the probability that the two students chosen both have black hair. Calculate the probability that the two students chosen has different hair colors. Calculate the probability that the second student has a different hair color given that the first student...
An elementary school teacher assigns classroom jobs to three students each week, One student hands out craft supplies, one erases the whiteboard, one tak messages to the office. How many different ways can the teacher assign these three jobs to the 24 students in her class? 3. (b) 24 (c) 2024 (d) 12144 (e) 13824
How many ways can a PE teacher choose a team of 5 students from his classroom of 12 students? Select one: a. None of the other answers b. 248832 C. 60 d. 95040 e. 792
Three men and four women stand in line at a checkout counter at a store. In how many ways can they stand in the line if we consider only their gender?
How many ways are there for four men and five women to stand in a line so that: a) All men stand together? b) All women stand together?
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,...
How to solve these problem, I need detailed answer process. 1. Fifteeen people stand in a line, 5 females and 10 males. b) In how many ways can they stand if no two females stand next to each other? b) In how many ways can they stand if all five females stand together in one block of 5 consecutive positions?