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MATH / How many ways are there to fill in the tens digit and hundreds digit of…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

How many ways are there to fill in the tens digit and hundreds digit of $1\underline{\hphantom{2}}\,\underline{\hphantom{2}}4$ so that it is divisible by 1111?
Plain-text mathematical notation (without MathML)
How many ways are there to fill in the tens digit and hundreds digit of $1\underline{\hphantom{2}}\,\underline{\hphantom{2}}4$ so that it is divisible by 11?
Original LaTeX notation
How many ways are there to fill in the tens digit and hundreds digit of $1\underline{\hphantom{2}}\,\underline{\hphantom{2}}4$ so that it is divisible by $11$?

level

Level 5

type

Number Theory

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Source and history

Official source

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