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UPSC Prelims

Mathematics

Theme:

Number System / संख्या पद्धति

Q79 2022, Number System

What is the number of numbers of the form 0-XY, where X and Y are distinct non-zero digits?

0-XY रूप की कितनी संख्याएँ हैं, जहाँ X और Y भिन्न शून्येतर अंक हैं?

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Non zero digits= 9

Means X and Y can be replaced by 9 digits. So if X is replaced by 9 digits then Y is replaced by 8 digits (9-1)

This can be arranged at two places in 9 × 8 = 72 ways (without repetition).

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