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Guichard-Combinatorics-Graph-Theory
· Problem 2.2.1
Inclusion-Exclusion
Mathematics — Probability · derangements-recurrence
Problem
Prove that
D
n
=
n
D
n
−
1
+
(
−
1
)
n
D_n = nD_{n-1} + (-1)^n
D
n
=
n
D
n
−
1
+
(
−
1
)
n
when
n
≥
1
n \geq 1
n
≥
1
, by induction on
n
n
n
.
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