Twelve officers of an organization are to be divided into committees.In how many ways can the officers be divided into three committees composed of six, four,and two members, respectively?O 12 C6 +12 C4 +12 C2O 12 C6 *12 C4 *12 C2O (12)(4)(2)126 4 2,

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Answered: Twelve officers of an organization are…

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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Three hungry pirates, Ahab, Bluebeard, and Hook, were stranded on a desert island. They came upon a treasure chest, which they immediately opened. To their joy, they found it to be full of pretzels! Immediately they each ate 10, then they decided they should save the rest for later. That night, after the others had fallen asleep, Ahab crept to the treasure chest and opened it. He separated the pretzels into 3 equal piles. There was 1 extra pretzel, which he gave to a passing monkey. Then he stole one of the 3 equal piles of pretzels, put the rest back into the chest, and went back to camp. A short time later Bluebeard sneaked over to the chest. He separated the pretzels into four equal piles (he wasn’t quite as greedy as Ahab). There were 2 extra pretzels, which he gave to a passing monkey. He then stole one of the four piles and put the rest back into the chest. Still later Hook went to the chest and separated the pretzels into five equal piles. There were 3 left over, which he gave…
A basket contains 2 pink, 3 yellow, 8 red, and 1 black jelly beans. You grab a handful of 4 jelly beans. (a) How many groups of 4 jelly beans include exactly 1 of each color? (b) How many groups of 4 jelly beans include at most 1 yellow?
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Twelve officers of an organization are to be divided into committees. In how many ways can the officers be divided into three committees composed of six, fou and two members, respectively? O 12 C6 +12 C4 +12 C2 O 12 C6 *12 C4 *12 C2 O (12)(4)(2) 12 6 4 2)

Twelve officers of an organization are to be divided into committees. In how many ways can the officers be divided into three committees composed of six, fou and two members, respectively? O 12 C6 +12 C4 +12 C2 O 12 C6 12 C4 12 C2 O (12)(4)(2) 12 6 4 2)