Suppose a class consists of 4 students majoring in Mathematics, 3 students majoring in Chemistry and 4 students majoring in Computer Science. How many compositions are possible to form a group of 3 students if each group should consist at most 2 students majoring in Computer Science?

foass77W

foass77W

Answered question

2020-12-24

Suppose a class consists of 4 students majoring in Mathematics, 3 students majoring in Chemistry and 4 students majoring in Computer Science. How many compositions are possible to form a group of 3 students if each group should consist at most 2 students majoring in Computer Science?

Answer & Explanation

liingliing8

liingliing8

Skilled2020-12-25Added 95 answers

Total students = 4 + 3 + 4 = 11
Numbers of students majoring in Computer Science = 4
Numbers of students not majoring in Computer Science = 11 - 4 = 7
Number of groups with at most 2 students majoring in Computer Science = Number of groups with 0 students majoring in Computer Science + Number of groups with 1 students majoring in Computer Science + Number of groups with 2 students majoring in Computer Science =(C04C37)+(C14C27)+(C24C17)
=(135)+(421)+(67)
=161

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