Part A: Knowledge/Understanding (13 marks) Fill in the blanks with your final answer, showing steps is not required. 1. How many different ways can you select a president, vice-president and treasurer from 8 people? 2. 8X7X6X5 Express the product 3X2X1 using factorial notation. 3. How many different numbers can be created by selecting 3 of the digits from the number 57 834? 4. Given that P(A) = = P(B) = = and P(A U B) = =, determine P(An B). 5 . 3!X8! Evaluate 5! 6. How many permutations of the letters in the word MANAGEMENT start with an M? 7. Given that the probability in favour of event A is 34% and n(S) = 600, determine n(A' ). 8. A five digit code using numbers from 1 to 6 is used for remote access to voicemail. Determine the probability that a randomly selected code has the same first 2 digits. 9 . A special card set has 12 cards. In how many different ways can the cards be placed into groups consisting of 4 cards in each group? 10. How many different 7 digit numbers can you create using all of the digits in the number 5 444 422