OA Mathematics 110 class at a junior college must select 3 students to serve on an advisory committee to the dean. There are 16 freshmen and 14 sophomores in the class.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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This question has two parts, in each part has 4 subparts, so technically I am under the 3 questions. please answer to your best of your capability

(2) A Mathematics 110 class at a junior college must select 3 students to serve on an
advisory committee to the dean. There are 16 freshmen and 14 sophomores in the
class.
a)
i) How many 3-person committees can be chosen from the class?
ii) How many 3-person committees can be chosen from the class if the
committee consists of only freshmen?
iii) How many 3-person committees can be chosen from the class if the
committee consists of only sophomores?
iv) How many 3-person committees can be chosen from the class if the
committee consists of 2 freshmen and 1 sophomore?
1
Transcribed Image Text:(2) A Mathematics 110 class at a junior college must select 3 students to serve on an advisory committee to the dean. There are 16 freshmen and 14 sophomores in the class. a) i) How many 3-person committees can be chosen from the class? ii) How many 3-person committees can be chosen from the class if the committee consists of only freshmen? iii) How many 3-person committees can be chosen from the class if the committee consists of only sophomores? iv) How many 3-person committees can be chosen from the class if the committee consists of 2 freshmen and 1 sophomore? 1
b) What is the probability that the committee will consists of
i) all freshmen?
ii) all sophomores?
iii) 2 freshmen and 1 sophomore?
iv) 1 freshman and 2 sophomores?
Transcribed Image Text:b) What is the probability that the committee will consists of i) all freshmen? ii) all sophomores? iii) 2 freshmen and 1 sophomore? iv) 1 freshman and 2 sophomores?
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