E(10)

Partition the set E(10) ( = {1, 2, . . ., 10}) in 4 subsets S(1), S(2), S(3) and S(4) such that |S(1)| = 1, |S(2)| = 2, |S(3)| = 3 and |S(4)| = 4. How many different partitions are possible?


The answer is 12600.

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1 solution

X X
Jul 30, 2018

10 ! 1 ! 2 ! 3 ! 4 ! = 12600 \dfrac{10!}{1!2!3!4!}=12600

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