Please answer 1 through 6

1. (8 points) A survey of a group of children indicated there were 25 with brown eyes and 15 with black hair. a. If 10 children had both brown eyes and black hair, how many children interviewed have brown eyes but not black hair? b. If 30 children had neither brown eyes nor black hair, how many children in all were interviewed? 2. (6 points) How many different answers are possible in a true-false test consisting of 10 questions? 3. (8 points) A survey of 100 bank customers revealed that 58 of them have a savings account, 63 of them have a checking account, 22 of them have a savings account and a loan, 16 of them have a checking account and a loan, 27 of them have only a checking account, 12 have a savings account and a checking account and a loan. Assume that every customer has at least one of the services. How many customers do not have a loan? 4. (8 points) How many 3-letter code words are possible using the first 10 letters of the alphabet if adjacent letters cannot be the same? 5. (8 points) A license plate is to consist of 2 letters followed by 4 digits. Determine the number of different license plates possible if repetition of letters is permitted and repetition of numbers is not permitted. 6. (8 points) Find the coefficient of xy in the expansion of (x ty)