1. In how many ways can the position of president and secretary of an organization be filled if members A, B, C, and D are eligible for nomination for the 2 positions? 2. In how many ways can the letters of the word FORMULA be rearranged? 3. How many ways are there to select 3 candidates from 8 equally qualified recent graduates for openings in a certain company?
1. In how many ways can the position of president and secretary of an organization be
filled if members A, B, C, and D are eligible for nomination for the 2 positions?
2. In how many ways can the letters of the word FORMULA be rearranged?
3. How many ways are there to select 3 candidates from 8 equally qualified recent
graduates for openings in a certain company?
4. A witness to a hit and run accident told the police that the license number contained
the letters RLH followed by 3 digits, the first of which is a 5. If the witness cannot recall the
last 2 digits, but certain that all 3 digits are different, find the maximum number of
automobile registrations that the police may have to check.
5. a) How many ways can 6 people be lined up to get on a bus?
b) If a certain 3 persons insist on following each other, how many ways are possible?
c) If a certain 2 persons refuse to follow each other, how many ways are possible?
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