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13 Nov 2023, 02:30
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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56% (01:22) correct
44%
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wrong
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A password generator creates 2- or 3-digit codes. How many different codes can it generate using only the digits 1, 2, or 3, if the sum of each code's digits must be 6?
A. 7
B. 8
C. 9
D. 10
E. 11
A. 7
B. 8
C. 9
D. 10
E. 11
Updated on: 13 Nov 2023, 10:28
Originally posted by VibhuAnurag on 13 Nov 2023, 03:41.
Last edited by VibhuAnurag on 13 Nov 2023, 10:28, edited 1 time in total.
Last edited by VibhuAnurag on 13 Nov 2023, 10:28, edited 1 time in total.
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Option B.
Combinations of 3-digit codes: All three digits (1, 2 and 3) must be used to get a total of 6. Hence, 3! = 6 & 2+2+2 = 6 --> Total 7 codes.
Combinations of 2-digit codes: Only 3+3 works. Hence, 1 code.
Total = 7 + 1 = 8 codes
Combinations of 3-digit codes: All three digits (1, 2 and 3) must be used to get a total of 6. Hence, 3! = 6 & 2+2+2 = 6 --> Total 7 codes.
Combinations of 2-digit codes: Only 3+3 works. Hence, 1 code.
Total = 7 + 1 = 8 codes
