choices for receivers, and 3 choices for TV. How many different home theater sys
ID: 2936869 • Letter: C
Question
choices for receivers, and 3 choices for TV. How many different home theater systems can you construct consisting of one speaker set, one receiver, and one TV? For questions 25 through 27, use the following information: The mayor of a small city is required to appoint from a 7-member appropriations committee a 3-person panel to review applications for tax exemptions requested by private citizens For questions 25 and *26, show your work. If a counting formula is used, show its implementation with correct numeric values in place. 25. In how many ways can this panel be appointed? 25 .26. The appropriations comumittee has 4 members who are Democrats. In how many ways can an all-Democrat 3-person panel be appointed? .26.Explanation / Answer
a) we have to select 3 person panel from an approximation committee of 7 persons
Number of ways = 7C3 ways
= 7*6*5 / (1*2*3)
=35 ways
b) we have to select 3 person committee from a 7 approximation persons of these 4 democrats are present
Number of ways to select all 3 persons from democrats = 4C3 * 3C0
=4*3*2 /(1*2*3)
=4
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