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Problems
Contests
National and Regional Contests
China Contests
(China) National High School Mathematics League
2023 China Second Round
7
throw a Dice three times
throw a Dice three times
Source: 2023 China Second Round Test 1 P3
June 2, 2024
possibility
Dice
Problem Statement
We throw a dice three times and the numbers are
x
,
y
,
z
x,y,z
x
,
y
,
z
find out the possibility of
(
7
x
)
<
(
7
y
)
<
(
7
z
)
\binom{7}{x}<\binom{7}{y}<\binom{7}{z}
(
x
7
)
<
(
y
7
)
<
(
z
7
)
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