License plates in Indiana consist of a number from 1 to 99 (indicating the county of registration)
1.    The integers 1, 2, 3, … , 9 are arranged in a row, resulting in a nine-digit integer. What is the probability that
(a)Â Â Â Â the integer resulting is even?
(b)Â Â Â Â the integer resulting is divisible by 5?
(c)Â Â Â Â the digits 6 and 4 are next to each other?
2.    License plates in Indiana consist of a number from 1 to 99 (indicating the county of registration), a letter of the alphabet, and finally an integer from 1 to 9999. How many cars may be licensed in Indiana?
3.    Prove that at least two people in Colordao Springs, Colorado, have the same three initials.
4.    In a small school, 5 centers, 8 guards, and 6 forwards try out for the basketball team.
(a)Â Â Â Â How many five-member teams can be formed from these players? (Assume a team has two guards, two forwards, and one center.)
(b)Â Â Â Â Intercollegiate regulations require that no more than 8 players can be listed for the team roster. How many rosters can be formed consisting of exactly 8 players?
Answers
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Posted 10 Jun 2017 08:06 AM
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