If all words with 2 distinct vowels and 3 distinct consonants were listed alphabetically, what would be the rank of “ACDEF’?
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If we listed all numbers from 100 to 10,000, how many times would the digit 3 be printed?
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From the digits 2, 3, 4, 5, 6 and 7, how many 5-digit numbers can be formed that have distinct digits and are multiples of 12?
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All numbers from 1 to 200 (in decimal system) are written in base 6 and base 7 systems. How many of the numbers will have a non-zero units digit in both base 6 and base 7 notations?
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All numbers from 1 to 150 (in decimal system) are written in base 6 notation. How many of these will contain zero's?
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