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Find the number of distinguishable permutations of the digits of the number 287,772

User Myjab
by
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1 Answer

1 vote

Answer:

60

Explanation:

Use r-combinations.

Treat it as though u are filling in 6 slots

_ _ _ _ _ _

1. First fill in the 7s, there are three of them and 6 ways to do so

so (6 Choose 3)

2. then fill in the 2s, now with the 3 slots taken up by the 7, 3 slots left.

So its (3 Choose 2).

3. and only 1 way to fill in the 8. (1 choose 1)

By multiplicative rule,

(6C3) * (3C2) * (1C1) = 60

User Mestachs
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