How many different ways are there to arrange the letters a, b, a, and b? 4 6 8 16

There are 6 different possible arrangements of letters A, B, A, B.

Solution:

Need to determine different ways to range letters A, B, A and B.

Using the theorem which says that the number of permutation of n alphabets, where number of alphabets of one kind and is number of alphabets of second kind is given by following formula.

Number of possible arrangements

In our case total number of alphabets = n = 4

Number of letter A = = 2

Number of letter B = = 2

Using (1), we get

Number of possible arrangements of A, B, A, B

Hence there are 6 different possible arrangements of letters A, B, A, B.

Your answer would be: 6 (six)

its the fourth option