how many 3 digits are there such that the digit at hundred's place is less than the digit in middle & the digit at unit's place is less than the digit in middle?. Repetition not allowed.
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1) Ten's and Unit's digits are identical
9+8+7+...1=459+8+7+...1=45 possibilities
2) Ten's and Unit's digits are not identical
13(9.9.8)13(9.9.8) possibilities =216=216
Total 45+216
261
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