Five balls needs to be placed in three boxes. Each box can hold all the five balls.In how many ways can the balls be placed in the boxes so that no box can beempty if all balls are different but all boxes are identical? *О 25О 2315

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Answered: Five balls needs to be placed in three…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Similar questions

How many license plates can be made if each plate uses three uppercase letters followed by a 3-digit number? Assume letters and numbers can not be repeated. Choose one of the following. i) C(26, 3) * C(10, 3) ii) 3^(26) * 3^(10) iii) C(26, 3) * 3^(10) iv) P(26, 3) * P (10, 3)
Q3/ How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 such that the numbers are divisible by 5 and none of the digits is repeated? (5 marks)
In a bag, there are 11 purple and 7 green marbles. If you reach in and randomly choose 4 marbles, without replacement, in how many ways can you choose exactly one purple? nothing ways
Suppose 10 baseball players are available to be drafted by 4 teams where each team might win any number of these players. In how many ways can these 10 players be drafted?
A total of 1,954 identical items are to be packed in empty boxes. Each of the boxes to be used comes in one of four different sizes, which can hold a maximum of either 1 item, 8 items, 64 items, or 512 items. If each box used must be filled completely, what is the smallest number of boxes that can be used to pack all the items? 4 O 10 O 15 O 21
2. (a) A sack contains 50 marbles of 4 different colors. Explain why there are at least 13 marbles of the same color. (b) If exactly 8 of the marbles are red, explain why there are at least 14 of the same color.
20 different comic books will be distributed to 5 kids. 1) How many ways are there to distribute the comic books if there are no restrictions on how many go to each kid (other than the fact that all 20 will be given out)? 2) How many ways are there to distribute the comic books if they are divided evenly so that 4 go to each kid??
The qualified applicant pool for three management trainee positions consists of nine women and six men How many different groups of applicants can be selected for the positions? How many different groups of trainees would consist entirely of women?

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Five balls needs to be placed in three boxes. Each box can hold all the five balls. In how many ways can the balls be placed in the boxes so that no box can be empty if all balls are different but all boxes are identical? * О 25 О 23 15