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

Suppose 2а, 1— 8а, 2 + 5а, -з ат and 55, 57, =296 a4= a5= a6 Find a1, a2, and az. = ID а2 аз
8) A Company has 800 employees who bank with the Bank of Berba and First Public Bank. 312 bank with the Bank of Berba and 564 bank with the First Public Bank. How many employees bank with both banks, if 12 employees have no bank accounts?
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)
Cynthia is president of an international chemical distribution company, Cchem. Weekly gross sales for Cchem has a mean of $1 million and standard deviation of $0.2 million; the distribution of sales is highly right-skewed. One week’s sales are independent of the sales in any other week. Use this information to answer questions 5 to 6 below. What is the probability that sales for the week of October 5, 2009 will be more than $1.25 million? In order for Cynthia to receive a bonus, Cchem’s annual sales must exceed $53 million. What is the probability that Cynthia will receive a bonus for the fiscal year starting in 2010? Assume there are 52 weeks in a year.
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)
A 4-digit number is selected from the numbers {1,2,3,4,5,6}{1,2,3,4,5,6} where the digits are selected without replacement. How many 4-digit numbers can be selected that are greater than 4000? How many even 4-digit numbers can be chosen? How many 4-digit numbers can be chosen that are even and greater than 4000?
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.

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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