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How many numbers are there between 99 and 1000 having atleast one of their digits 7? - Mathematics

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प्रश्न

How many numbers are there between 99 and 1000 having atleast one of their digits 7?

योग

उत्तर

Total number of 3 digit numbers having atleast one of their digits as 7 = (Total numbers of three-digit numbers) – (Total number of 3 digit numbers in which 7 does not appear at all).

= (9 × 10 × 10) – (8 × 9 × 9)

= 900 – 648

= 252.

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अध्याय 7: Permutations and Combinations - Solved Examples [पृष्ठ ११६]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 7 Permutations and Combinations
Solved Examples | Q 2.(ii) | पृष्ठ ११६

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