Suppose a class consists of 3 students majoring in Mathematics, 4 students majoring in Chemistry and 4 students majoring in Computer Science

Nann

Nann

Answered question

2021-09-03

Suppose a class consists of 3 students majoring in Mathematics, 4 students majoring in Chemistry and 4 students majoring in Computer Science. How many arrangements are possible for forming a group of 3 students, if each group should consist at least 2 students majoring in chemistry?

Answer & Explanation

Sadie Eaton

Sadie Eaton

Skilled2021-09-04Added 104 answers

Total students = 3 + 4 + 4 = 11
Numbers of students majoring in Chemistry = 4
Numbers of students not majoring in Chemistry = 11 - 4 = 7
Number of groups with at least 2 students majoring in Chemistry = Number of groups with 2 students majoring in Chemistry + Number of groups with 3 students majoring in Chemistry
=(C24C17)+(C34C07)
=(67)+(41)
=46

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