Find number of ways to arrange letters of LAPTOP so that none of the letters L, A, T, O is in its original position and P is not in the third or sixth position.

- maggiemagnet
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halimbey wrote:Find number of ways to arrange letters of LAPTOP so that none of the letters L, A, T, O is in its original position and P is not in the third or sixth position.

What have you tried? If the two P's are in, say, the first and second position, how many arrangements are okay for the other letters? Have you checked different arrangements? Have you looked for any patterns? Have you broken this down into cases? Please show what you've done. Thanks!