A students' council with 22 members must select 3 students to help run a fundraiser. This is to be done by randomly selecting 3 names from the 22 names available. The council has 3 students from grade 9, 4 students from grade 10, 10 students from grade 11, and the remainder from grade 12. Determine the probability that 2 out of the 3 names are chosen from the same grade.

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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A students' council with 22 members must select 3 students to help run a fundraiser. This is to be done by randomly selecting 3 names from the 22 names available. The council has 3 students from grade 9, 4 students from grade 10, 10 students from grade 11, and the remainder from grade 12.
Determine the probability that 2 out of the 3 names are chosen from the same grade. 
 
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