Final answer:
The letters in the word D-I-N-O-S-A-U-R can be arranged in 40,320 ways.
Step-by-step explanation:
To find the number of ways the letters in the word D-I-N-O-S-A-U-R can be arranged, we can use the concept of permutations.
The word D-I-N-O-S-A-U-R contains 8 different letters. To find the number of arrangements, we can use the formula for calculating permutations of n objects taken all at a time, which is n!. In this case, n is equal to 8, so the number of arrangements is 8!.
However, there are some repeated letters in the word D-I-N-O-S-A-U-R.
The letter 'A' is repeated twice. To account for the repetition, we divide the total number of arrangements by the factorial of the number of times each repeated letter occurs.
In this case, 'A' appears twice, so we divide by 2!. So the final answer is 8! / 2!.
Simplifying the expression, we have 8! / 2! = 40,320.