2022 AMC 10A Problems/Problem 24
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Problem
How many strings of length formed from the digits
,
,
,
,
are there such that for each
, at least
of the digits are less than
? (For example,
satisfies the condition because it contains at least
digit less than
, at least
digits less than
, at least
digits less than
, and at least
digits less than
. The string
does not satisfy the condition because it does not contain at least
digits less than
.)
Solution By Omega Learn with Complementary Counting
https://www.youtube.com/watch?v=jWoxFT8hRn8&list=PLT9bNzqjDoMl3jNviYrczw7Ck_ArS54Xn&index=8