Astudent council consists of three freshman, four sophomores, four juniors, and five seniors. how many committees of eight members of the council contain at least one member of each class?

There are 10428 committees that contain at least one member of each class.

Step-by-step explanation:

Since we have given that

Number of freshman = 3

Number of sophomores = 4

Number of juniors = 4

Number of seniors = 5

total = 3 + 4+ 4 + 5 = 16

Number of committees of eight members of the council would contain at least one member of each class is given by

Total - Number of possibility without freshmen - Number of possibility without sophomores - Number of possibility without juniors - Number of possibility without seniors

Hence, there are 10428 committees that contain at least one member of each class.

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step-by-step explanation: