a. A 6-character password is to be chosen from the following 9 characters.

Each character may be used only once in any password.

Find the number of different 6-character password that may be chosen if

i. There are no restrictions,

ii. The password must consist of 2 letters, 2 numbers and 2 symbols, in that order,

iii. The password must start finish with a symbol.

b. An examination consists of a section A, containing 10 short questions, and a section B, containing 5 long questions. Candidates are required to answer 6 questions from section A and 3 questions from section B. Find the number of different selections of questions that can be made if

i. There are no further restrictions,

ii. Candidates must answer the first 2 questions in section A and the first question in section B.

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Letter A B E Numbers 5 8. 9 Symbols %24