Q: What is the number of distinguishable permutations of the letters in the word oregon?

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There are ten letters in the word. The total number of possible permutations is(10) x (9) x (8) x (7) x (6) x (5) x (4) x (3) x (2) = 3,628,800But the two 'c's can be arranged in either of 2 ways with no distinguishable change.Also, the three 'i's can be arranged in any of (3 x 2) = 6 ways with no distinguishable change.And the three 't's can be arranged in any of (3 x 2) = 6 ways with no distinguishable change.So the total number of possible permutations can be divided by (2 x 6 x 6) = 72, the number oftimes each distinguishable permutation occurs with different and indisnguishable arrangementsof 'c', 'i', and 't'.We're left with(10) x (9) x (8) x (7) x (...) x (5) x (...) x (...) x (2) = (3,628,800/72) = 50,400 distinguishable arrangements.

Oregon

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The phone number of the Oregon Branch is: 419-259-5250.

The phone number of the Museum Of Oregon Territory is: 503-655-5574.

The phone number of the Oregon 150 is: 503-306-5209.

The phone number of the Oregon Zoo is: 503-220-2450.

The phone number of the Oregon Public Library is: 660-446-3586.

Oregon is the 33rd state.

The phone number of the Oregon Film Museum is: 503-325-2203.

The phone number of the Eastern Oregon Museum is: 541-856-3380.

The phone number of the Oregon Nikkei Endowment is: 503-224-1458.