How many different arrangements can be made out of the letters in the expression $a^3b^2c^4$ when written at full length?

The expression a^3 b^2 c^4 written at full length consists of 9 letters where a is repeated 3 times, b is repeated 2 times, and c is repeated 4 times. Using the permutation formula for indistinguishable items, the arrangements are calculated as 9! divided by (3! x 2! x 4!). Calculating the values gives 362880 divided by (6 x 2 x 24), which is 362880 divided by 288. The result is 1260.

• Thanks
• Wrong explanation