Can someone help me with this question. In Discrete Math 4th edition chapter 9.3
ID: 3083285 • Letter: C
Question
Can someone help me with this question. In Discrete Math 4th edition chapter 9.3 question number 6 (I have an online version of book and the solutions to problems for this section does not work and no one answered it on here). The question asks: In a certain state, license plates consist of from zero to three letters followed by from zero to four digits, with the provision, however, that a blank plate is not allowed. a. How many different license plates can the state produce? b. Suppose 85 letter combinations are not allowed because of their potential for giving offense. How many different license plates can the state produce? For A : i got 195287638? I am not sure if that is correct My logic was: for 1 letter there are 26 options for 2 letter there are 26x26 options ..... for 3 letters and four digts 26X26X26X10X10X10X10 Then i added them together. For B I dont get how to do it??? Can someone please help?Explanation / Answer
If repetition of the last four numbers is allowed: 9*26*26*26*10*10*10*10 = 1,581,840,000 combinations If repetition of the last four numbers is NOT allowed 9*26*26*26*10*9*8*7 = 797,247,360 combinations