Part A: Knowledge/Understanding (13 marks) Fill in the blanks with your final answer, showing steps is not required. 1. 10. 11. 12. 13. How many different ways can you select a president, vice-president and treasurer from 8 people? 8x7x6x5 Express the product _ using factorial notation. 3X2X1 How many different numbers can be created by selecting 3 of the digits from the number 57 834? 7 Given that P(A) = 12 Puma. BIXB! 5! PG?) = Sand P(A U B) = i, determine Evaluate How many permutations of the letters in the word MANAGEMENT start with an M? Given that the probability in favour of event A is 34% and n(S) = 600, determine n(A'}. 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. 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? How many different 7 digit numbers can you create using all of the digits in the number 5 444 422? Theoretical probability is always different than experimental probability. True or False? Given that MA) = 20, 11(3) = 30, n(A n B) = 8 and 11(5) = 100, determine P(A|B). How many different committees consisting of 3 people can be selected from 6 people