Using the word ALOHOMORA, find how many arrangements are possible if the letter O's were seen as different from each other (distinguishable) and they are to be separated.
2026-03-30 08:11:37.1774858297
Permutations and Combinations with letters
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Permute ALHMRA in $\dfrac{6!}{2!}$ ways,
and place the (distinct) $O's$ at the uparrows $\;\;\uparrow A\uparrow L\uparrow H\uparrow M\uparrow R\uparrow A\uparrow \;$in $7\;\cdot6\cdot5\;$ ways
Multiply the two