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1. From a pool of 11 equally qualified employees, a supervisor wants to select a

ID: 3198544 • Letter: 1

Question

1. From a pool of 11 equally qualified employees, a supervisor wants to select a team of 5. How many ways can the supervisor make the selection? A. 462 B. 30,240 C. 3,628,800 D. 252 E. Answer not given. 2. A toy piano has 12 keys. How many ways can 5 keys be pressed simultaneously? A. 123 B. 2) C. 12P5 D. 12! E. Answer not given. 3. How many divisors of 1430 have exactly two prime factors? A. () B.2 C. 4P2 D. 4! E. Answer not given. 4. A trumpet has 3 valves. Each note produced has a fingering position specifying which subset of the 3 valves is depressed. How many different positions are there? B. 2. C. 3 D. 3! E. Answer not given.

Explanation / Answer

Solution1;

order does not mattter

combinations problem

selecting 6 out of 11 in 11C6 ways

=11!/(11-6)!*6!=462

ANSWER:462