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03 Jan 2019, 09:10
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
53% (02:06) correct
47%
(02:09)
wrong
based on 215
sessions
History
Date
Time
Result
Not Attempted Yet
A small nation issues license plates that consist of just one number (selected from the digits 0 through 9, inclusive) and four letters, selected from a 20-letter alphabet. Repeats are permitted. However, there is one four-letter combination that is not allowed to appear on license plates. How many allowable license plate combinations exist?
(A) 1,599,990
(B) 1,599,999
(C) 1,600,000
(D) 4,569,759
(E) 4,569,760
(A) 1,599,990
(B) 1,599,999
(C) 1,600,000
(D) 4,569,759
(E) 4,569,760
03 Jan 2019, 22:05
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A small nation issues license plates that consist of just one number (selected from the digits 0 through 9, inclusive) and four letters, selected from a 20-letter alphabet. Repeats are permitted. However, there is one four-letter combination that is not allowed to appear on license plates. How many allowable license plate combinations exist?
Total slots = 5 [ digit, letter, letter, letter, letter ]
slot 1 : 10 possibilities (0-9)
slot 2 : 20 possibilities (20 letters)
slot 3: 20 possibilities (20 letters : repetition allowed)
slot 4: 20 possibilities
slot 5 : 20 possibilities
total ways= 10* (20)^4
disallowed combinations: 10*1
answer : 10*(20)^4 - 10
10* [ (20)^4 -1 ]
10*159999 = 1599990
A
Total slots = 5 [ digit, letter, letter, letter, letter ]
slot 1 : 10 possibilities (0-9)
slot 2 : 20 possibilities (20 letters)
slot 3: 20 possibilities (20 letters : repetition allowed)
slot 4: 20 possibilities
slot 5 : 20 possibilities
total ways= 10* (20)^4
disallowed combinations: 10*1
answer : 10*(20)^4 - 10
10* [ (20)^4 -1 ]
10*159999 = 1599990
A
03 Jan 2019, 22:08
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kanakdaga
PLEASE KUDOS IF IT HELPED! :D
