Difference between revisions of "AIME 2020(MOCK) Problems"
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==Problem 3== | ==Problem 3== | ||
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+ | How many <math>15</math> digit base <math>5</math> positive integers consist of exactly <math>2</math> pairs of consecutive <math>0</math>s but no <math>4</math> consecutive <math>3</math>s? |
Revision as of 12:12, 11 June 2020
Problem 1
Let be
. What is the remainder when
is divided by
?
Problem 2
Let be a set of polynomials
with integral coefficients such that the roots of
are
,
, and
. What is the least possible sum of the coefficients of
?
Problem 3
How many digit base
positive integers consist of exactly
pairs of consecutive
s but no
consecutive
s?