Question

How many different letter arrangements of length 4 (four letter words) can be made using the letters M O T T O? (ex: MOOT, MTTO, OMTO, etc.)

Answer 1

MOTTO

The number of 4 letter arrangements here is computed as:

• Letters used: OOTT, number of permutations = 4! / (2!2!) = 6
• Letters used: MOOT, number of permutations = 4! / 2 = 12
• Letters used: MOTT, number of permutations = 4! / 2 = 12

Therefore total number of arrangements here is computed as:
= 12 + 12 + 6 = 30

Therefore there are 30 arrangements are possible here.