The Gauteng government introduced a new licence-plate system in December 2010, the month it expected to run out of numbers to allocate under the old system. The number plates for motor vehicles in Gauteng used to be created as follows: Three letters excluding the vowels A,E,I,O,U as well as Q( repetition allowed)Y G GThree digits 0,1,2,3,4,5,6,78,9 (repetition allowed)For example:8 6 6The latest number plates for Gauteng have been changed. The same letters and digits are used as before but the structure is as follows:Two letter    Two digits    Two letter B B                     0 1                C Y (a) how many possible number plates were there with the old system?(b) how many number plates are there with new system?(c) why do you think that the traffic department changed to the new system?

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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The Gauteng government introduced a new licence-plate system in December 2010, the month it expected to run out of numbers to allocate under the old system. The number plates for motor vehicles in Gauteng used to be created as follows: Three letters excluding the vowels A,E,I,O,U as well as Q( repetition allowed)Y G GThree digits 0,1,2,3,4,5,6,78,9 (repetition allowed)For example:8 6 6The latest number plates for Gauteng have been changed. The same letters and digits are used as before but the structure is as follows:Two letter    Two digits    Two letter

B B                     0 1                C Y

(a) how many possible number plates were there with the old system?(b) how many number plates are there with new system?(c) why do you think that the traffic department changed to the new system?

Beautiful Day
2021-06-09 14:37:23
The Gauteng government introduced a new licence-plate system in
December 2010, the month it expected to run out of numbers to allocate
under the old system. The number plates for motor vehicles in Gauteng
used to be created as follows:
5.
Three digits 0,1,2,3,4,5,6,7,8,9
(repetition allowed)
Three letters excluding the
vowels A,E, I, O, U
as well as Q (repetition allowed)
For example:
9.
9.
The latest number plates for Gauteng have been changed. The same letters
and digits are used as before but the structure is as follows:
Two letters
Two digits
Two letters
For example:
B.
How many possible number plates
were there with the old system?
How many number plates are there
(b)
1.
C.
BB 01 BB GP
with the new system?
Why do you think that the Traffic
Department changed to the new
system?
Transcribed Image Text:Beautiful Day 2021-06-09 14:37:23 The Gauteng government introduced a new licence-plate system in December 2010, the month it expected to run out of numbers to allocate under the old system. The number plates for motor vehicles in Gauteng used to be created as follows: 5. Three digits 0,1,2,3,4,5,6,7,8,9 (repetition allowed) Three letters excluding the vowels A,E, I, O, U as well as Q (repetition allowed) For example: 9. 9. The latest number plates for Gauteng have been changed. The same letters and digits are used as before but the structure is as follows: Two letters Two digits Two letters For example: B. How many possible number plates were there with the old system? How many number plates are there (b) 1. C. BB 01 BB GP with the new system? Why do you think that the Traffic Department changed to the new system?
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