posted by .

A total of n balls are to be put into k boxes with conditions that there will be n1 balls in box 1 ,n2 balls in box2 and so on. With nkballs being placed in box k(n1+…..+nk = n)Explain why the number of ways of doing this is n!/n1!*….*nk!.
Explain why this is just n C n1 =n C n2 when k=2.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Probability again

    A box contains 6 red balls, 4 blue balls, and 2 green balls. Three balls are randomly drawn (without replacement) from the box. What is the probability that the three balls selected are all the same color?
  2. math

    A toy baseball bat comes with 3 plastic balls in a box that is a rectangular solid. The box is just big enough to hold the 3 balls. The radius of the balls is 1.9 in. What is the volume of the air in the box surrounding the balls?
  3. Statistics

    I have two boxes with balls; box #1 and box #2. Box #1 has 3 red balls and 2 blue balls.Box #2 has 7 red balls and 3 blue balls. what is the probability that if a red ball is picked, it is from box #1
  4. statistics

    A box contains 3 white and 5 black balls. Four balls are drawn at random "with replacement" from the box (i.e. selected balls are returned to the box and mixed, before drawing the next ball). Let X be the number of black balls drawn. …
  5. Math (Combinatorics)

    Six boxes labeled 1,2,…,6 are arranged in a line. Seven identical balls are to be placed into the boxes such that for any 1 ≤ k ≤ 6, there are at least k total balls amongst boxes 1,2,…k. How many different placements …
  6. math

    You have seven balls labelled 1,2,…,7 and seven unlabelled, indistinguishable boxes. How many different ways can the balls be placed into the boxes?
  7. math

    a box filled with identically shaped balls contains 5 balls with the number 1 on them, 8 balls with the numbers 10 on them, 15 balls with the number 12, and 2 balls with the number 20 on them. If the balls cannot be seen from outside …
  8. Math

    Tom has 5 boxes of balls. Each box contains x balls. His father gives him another 8 balls. Find the total number of balls Raul has in terms of x
  9. probability theory

    3 students; A, B and C, are in a swimming race. A and B have the same probability of winning and each is twice as likely to win as C. Find the probability that B or C wins the swimming race. 3) Given three boxes as follows: Box A contains …
  10. math

    In a box contain 4 green balls 4 white balls and 4 red balls .If 4 balls are drown randomly what is the probability that no one even out of the 4 balls being white.

More Similar Questions