1. B

    Game Show Possibilities Problem...

    Hi Everyone, Would the following problem be a permutation, or a combination? "For a gameshow, there are 9 spots to select on a board. You get to choose 3 of them in order to try to find the grand prize. How many different ways are there to select your spots?" I think it's a permutation...
  2. J

    PLEASE HELP!! Probability of Winning Card Game With Multiple (Four) Players

    I am a tutor attempting to help a student with a probability problem for a card game they invented, but I am afraid the probability may be too complex (the student is only in pre-calculus). Here are the rules of the game: 1. There are four players in a circle. A standard 52-card deck is...
  3. J

    Permutation & Combination

    (a) 5 trucks should carry 50 boxes, but only 2 trucks are available. In how many different ways boxes can be chosen to fit in 2 trucks: - Order of boxes is important - Order of boxes is irrelevant (b) How many different arrangements are there of the letters of the word FLOWER which end in a...
  4. O

    Maximum value of combined function

    Hi, I hope someone can help. I'm currently working on 10c: I know that the equation for the function is (25+x)(20,000-750x). In terms of finding the point of maximum revenue, I'm finding a hard time doing so. When I plot this on a graph, I get very large values. The answer according to the...
  5. O

    Characteristics of combined functions

    Hi, I hope someone can help. I'm hoping that someone help me understand combined function characteristics with the following examples: 1. y=2^x-x^3 would this function not have a relative maximum at x = 0.59? Would it also have a minimum at x = 8.177? 2. y = sin(2pix) - 2sin(pix) my textbook...
  6. P

    Combination and Permutation

    The question is, "How many possible ways could you split 24 unique color balls among 3 bins such that these 3 bins gets at least 1 ball?" I've tried thinking that there were 24! permutations, and for each possibility, I can draw two "lines" in spaces between the balls and split the balls into...
  7. A

    Check My Answer - Combination Percentages

    i.) About what percent smaller is nCr(95, 43) than nCr(95, 44)? (Where n is the first number and r is the second number) ii.) About what percent larger is nCr(226, 107) than nCr(226, 106)? i.) For this I got 82.69% smaller. Let n = 95 and k = 43. Then 95*nCr(95, 44) = (95-43)*nCr(95, 43). Then...
  8. P

    No. of ways to divide 6 pairs into 3 teams so that no pairs are in the same team

    There are 6 pairs (12 people) and they must be divided into 3 teams. All teams must have 1 or more occupants. Both people from a pair must not be in the same team. I already answered a similar question, the only difference was that there were two teams instead of three. If x is the number of...
  9. J

    Permutation or Combination

    (a) A company plans to reduce its employees. If there are 7 male employees and 9 female employees, in how many ways can the manager dismiss any two male employees and one female employee? I am confused here to use Permutation or Combination. (b) A coin is tossed three times in succession, and...
  10. L

    Finding out the number of ways a bakery can give pies to the needy?

    >At the end of the day, a bakery gives everything that is unsold to food banks for the needy. If it has 12 apple pies left at the end of a given day, in how many different ways can it distribute these pies among six food banks for the needy? >How many different ways can the bakery distribute...
  11. W

    Very simple Combination problem

    I don't know why I am wrong, help will be really appreciated! A bushwalking club has 80 members, 50 men and 30 women. A committee consisting of two men and one woman is to be selected. How many different committees are possible? I did 50C2 * 30C1 =36000 However, that was wrong. Sent from my...
  12. J

    Calculations for a tennis set

    Hey guys! Have been thinking around a problem regarding calculation of a tennis set and tie breaker. Let me begin with the tennis set. Let C1 be the chance of player 1 win a tennis game, and C2 the chance of player 2 win a tennis game, both independent from each other. If the set is won by the...
  13. S

    Express a vector as a linear combination of the vectors in your orthogonal basis forT

    Regarding the two subsets of R4: S = {(1, 1, 0, −1), (1, −2, 1, 6), (1, 1, 1, 0)}, T = {(x, y, z, x − 2y + z) : x, y, z ∈ R}. Express the vector (1, 2, 0, −3) as a linear combination of the vectors in your orthogonal basis for T. Any help will be much appreciated. Thank you!
  14. I

    Permutation and Combination

    1. Selecting 3 students to attend a conference is permutation or combination or cant say? 2. Assigning students to their seats on the first day of the school- Is it permutation, combination or cant say?
  15. I

    Permutation and Combination

    If the worst and the best paper never appear together, then 6 exam papers can be arranged in how many ways? Will it be 4! * 2! = 240? If not, then please explain. Sorry, i tried to edit it. But cant edit the spelling of permutation in the title.
  16. R

    Probability of Combination and Permutation

    Can someone explain the difference between the probability of combination and permutation using basic examples?
  17. M


    From where, I can find the proof of the following theorem. I have to to cite it, in my research article. Theorem: The combination "N C P-1" is the number of possibilities for P1,P2,P3,...,Pr∈ℤ⁺ such that P1+P2+P3+...+Pr=N+1.
  18. S

    combination of variable odd values

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  19. M

    Combination Counts

    I am always struggling with combination counts and probability I have seen 2 formulas recently, one is (n+k-1)Cn and the other is (n-1)C(k-1) I do not know which to use where. (Worried) For instance: How many ways are there to distribute 12 identical balls into 9 different...
  20. M

    Combination / provisions? problem

    Hello! I would like some help for the following problem: We have 50 teams and we want to divide them in groups of 10 teams each, but we want to prevent two teams to be in the same group for more than once; How many groups we can make? For example, if we have 5 letters A B C D E and we want...