Question:medium

How many 3-digit numbers are there, for which the product of their digits is more than 2 but less than 7? [This Question was asked as TITA]

Updated On: Jan 15, 2026
  • 22
  • 12
  • 21
  • 11
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The Correct Option is C

Solution and Explanation

To determine the count of 3-digit numbers where the product of their digits falls between 2 and 7 (exclusive), we analyze combinations yielding products of 3, 4, 5, and 6. A 3-digit number is defined by digits a, b, and c, with the constraint that a ≠ 0.
Product = 3: The digit combination is {1,1,3}, forming 3 unique numbers (113, 131, 311).
Product = 4: The digit combinations are {1,1,4} and {1,2,2}. These combinations form a total of 6 unique numbers (114, 141, 411, 122, 212, 221).
Product = 5: The digit combination is {1,1,5}, forming 3 unique numbers (115, 151, 511).
Product = 6: The digit combinations are {1,1,6} and {1,2,3}. These combinations form a total of 9 unique numbers (116, 161, 611, 123, 132, 213, 231, 312, 321).
Grand total: The sum of numbers for each product category is 3 + 6 + 3 + 9 = 21.
Consequently, there are 21 3-digit numbers whose digit product is greater than 2 and less than 7.
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Cultural appropriation occurs when elements from a particular culture are borrowed without proper understanding, respect, or acknowledgment. This leads to the commodification of sacred symbols, the reinforcement of stereotypes, and the erasure of the cultural context from which these elements originated. It is essential to recognize that the impact of cultural appropriation extends beyond the realm of artistic expression, influencing societal perceptions and perpetuating power imbalances.
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