If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 8-letter code words to the number of 6-letter code words?
Choose the correct choice from the following answers:
A) 5 to 4 B) 3 to 2 C) 12 to 1 D) 5 to 1 E) 6 to 1
Number of ways to form 8-letter code: 10!/2! = 10*9*8*7*6*5*4*3   Number of ways to form 6-letter code: 10!/4! = 10*9*8*7*6*5   Ratio: 12 to 1   Answer : 12 to 1
<result>C</result>
If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 8-letter code words to the number of 6-letter code words?