Difference between revisions of "2023 SSMO Relay Round 2 Problems/Problem 3"
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==Problem== | ==Problem== | ||
− | Let <math>T=</math> | + | Let <math>T=TNYWR</math>. In a committee of <math>2023</math> people, <math>N</math> are scientists and the rest are builders. In order to make a building, <math>\frac{N}{2}</math> people must be choosen with at least one scientist and one builder. If <math>x</math> is the number of ways to do this, find the largest integer <math>a</math> such <math>2^a \mid x</math>. |
==Solution== | ==Solution== |
Latest revision as of 19:19, 2 May 2025
Problem
Let . In a committee of
people,
are scientists and the rest are builders. In order to make a building,
people must be choosen with at least one scientist and one builder. If
is the number of ways to do this, find the largest integer
such
.