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MATH / Alice is given the numbers 2, 3, 5, 7, and 9. She must choose a pair of these digits, with the digits being different, to form a two-digit number. How many of the numbers she can c…

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problem

Alice is given the numbers 22, 33, 55, 77, and 9.9. She must choose a pair of these digits, with the digits being different, to form a two-digit number. How many of the numbers she can construct will be divisible by 33?
Plain-text mathematical notation (without MathML)
Alice is given the numbers 2, 3, 5, 7, and 9. She must choose a pair of these digits, with the digits being different, to form a two-digit number. How many of the numbers she can construct will be divisible by 3?
Original LaTeX notation
Alice is given the numbers $2$, $3$, $5$, $7$, and $9.$ She must choose a pair of these digits, with the digits being different, to form a two-digit number. How many of the numbers she can construct will be divisible by $3$?

level

Level 3

type

Number Theory

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