5 balls are to be placed in 3 boxes. Each box can hold all the 5 balls. In how many ways the balls into the boxes so that no box remains empty, if (a) balls and boxes are all different. (b) balls are identical but boxes are different. (c) balls are different but boxes are identical. (d) balls as well as boxes are identical. (e) balls as well as boxes are identical, but the boxes are kept in a row.

5 balls are to be placed in 3 boxes. Each box can hold all the 5 balls. In how many ways the balls into the boxes so that no box remains empty, if (a) balls and boxes are all different. (b) balls are identical but boxes are different. (c) balls are different but boxes are identical. (d) balls as well as boxes are identical. (e) balls as well as boxes are identical, but the boxes are kept in a row.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section: Chapter Questions

Problem 40CT: There are 10 applicants for three sales positions at a department store. All of the applicants are...

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