(Principles of Counting). (i) In how many ways can 9 students be divided into three teams, the first team of two goingto a math contest, the second team of four going to a photo contest, and the third team of three going to a tenniscontest?(ii) In how many ways can 12 tasks be distributed evenly between three workers?Fill in the blanks with the correct answers in the solution below.Solution. (i) (a) 2 students for the first team can be chosen in.. (here and in the answers to (b,c) below, please entera suitable expression involving the correct combinatorial function, similar to the expressions P(10,2), or C(5,2), orbinom(5,2); please be mindful of unnecessary spaces!)ways;(b) following this, 4 students for the second team can be chosen in..ways;(c) following this, 3 students for the third team can be chosen in ..ways.Accordingly, there are.. (please enter a natural number)ways to form the teams in question.(ii) (a) 4 tasks for the first worker can be chosen in .. (again, here and in (b,c) below, please enter a suitableexpression involving the correct combinatorial function)ways;(b) following this, 4 tasks for the second worker can be chosen in ...ways;(c) following this, 4 tasks for the third worker can be chosen in ...ways.Accordingly, there are ... (please enter a natural number)ways to distribute tasks evenly among theworkers.

Permutation and combinations are frequently used in statistics.

Answered: (Principles of Counting). (i) In how…

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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