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03 Feb 2025, 01:30
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B
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Difficulty:
25%
(medium)
Question Stats:
71% (00:50) correct
29%
(00:53)
wrong
based on 152
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How many two-digit integers do not have any digits that are equal to each other?
(A) 90
(B) 81
(C) 80
(D) 75
(E) 72
(A) 90
(B) 81
(C) 80
(D) 75
(E) 72
03 Feb 2025, 04:01
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Total two digit numbers = 90
Two digit numbers with equal digits = 9 (11,22,33,...,99)
Numbers with no equal digits = 90 - 9 = 81
IMO: B
Two digit numbers with equal digits = 9 (11,22,33,...,99)
Numbers with no equal digits = 90 - 9 = 81
IMO: B
03 Feb 2025, 04:20
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Two digit numbers , with no digit repeating:
_ * _
Tenths digit can be filled by 9 digits (all except 0)
Units digit can be filled by 9 digits (all including 0 except the first digit selected)
Hence total two digit numbers: 9 * 9 = 81
Hence IMO Ans B
_ * _
Tenths digit can be filled by 9 digits (all except 0)
Units digit can be filled by 9 digits (all including 0 except the first digit selected)
Hence total two digit numbers: 9 * 9 = 81
Hence IMO Ans B
