Question 47
Permutation and CombinationA committee of six is to be formed by a state governor from nine state commissioners and three members of the state House of Assembly. In how many ways can the members of the committee be chosen so as to include one member of the House of Assembly?
- A.924 ways
- B.840 ways
- C.462 ways
- D.378 ways
Show the answer and explanation
Answer: D (378 ways)
Explanation
Choose 1 of the 3 Assembly members and 5 of the 9 commissioners: 3 × 9C5 = 3 × 126 = 378.