Question 1065218
A 4-person grievance committee is to be selected out of 2
departments, A and B, with 17 and 29 people. In how many
ways can the following committees be selected.
A) 3 from A and 1 from B
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(17C3)(29C1) = (680)(29) = 19720
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B) 2 from A and 2 from B
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(17C2)(29C2) = (136)(406) = 55216
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C) All from A
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(17C4)(29C0) = (2380)(1) = 2380
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D) 4 people regardless of department
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(17+29)C4 = 46C4 = 163185


E) at least 3 from department A. 


(17C3)(29C1) + (17C4)(29C0) = 

(680)(29) + (2380)(1) = 19720 + 2380 = 22100