QUESTION

CSAT

Medium

Maths

Prelims 2018

While writing all the numbers from 700 to 1000, how many numbers occur in which the digit at hundred's place is greater than the digit at ten's place, and the digit at ten's place is greater than the digit at unit's place?

Select an option to attempt

Explanation

Hundreds digit = 7: Possible combinations for tens and units digits = 21 numbers. Hundreds digit = 8: Possible combinations for tens and units digits = 28 numbers. Hundreds digit = 9: Possible combinations for tens and units digits = 36 numbers. Total = 21+28+36=8521 + 28 + 36 = 85.

So, the answer is (c) 85.

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