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Part A - Multiple Choice Show any work/calculations at the bottom of the next page, if possible 1. For their uniforms, the Vikings soccer team has a choice of six different styles for the shirts five for the shorts, and five colours for their socks. How many different uniforms are possible? A) 16 B) 150 C) 60 D) 55 2. The Niagara Ice Dogs have 4 people trying out for goal. Their coach wants to try a different goalie in each of the three periods of an exhibition game. In how many ways can the coach choose the three different goalies for the game? A) 12 B) 24 D) 55 20 3. How many arrangements of the word ALGORITHM begin with a vowel and end with a consonant? A) 18 5040 C) 90720 D) 181440 E) 362880 4. From a class of 14 boys and 9 girls, how many ways can I choose a committee of 6 to analyze classroom productivity with and equal number of boys and girls? A) 126 B) 252252 C) 30576 D) 448 5. A bag contains three green Christmas ornaments and four gold ornaments. If you randomly pick a single ornament from the bag, what is the probability that it will be green? A) B) C) D) 6. A bag contains three green Christmas ornaments and four gold ornaments. If you randomly pick two ornaments from the bag, at the same time, what is the probability that both ornaments will be gold? A) B) C) D) none of the above 7. How many 4 digit number can be made using 0 -7 with no repeated digits allowed? A) 5040 B) 4536 C) 2688 D) 1470 8. A coin is tossed three times. What is the probability of tossing three heads in a row? A) B) C) D) NI- MDM4U 9. Two standard dice are rolled. What is the probability of rolling doubles (both the same number)? A) B) C) D) 36 36 10. There are 50 competitors in the men's ski jumping. 30 move on to the qualifying round. How many different ways can the qualifying round be selected? A) 50! B) 30! C) 80 D) 1500 E) 1.25 x 106 11. How many ways can the manager of a baseball team put together a batting order of his nine players, if the shortstop must bat 3rd? A) 40320 B) 504 C) 362880 D) 120960 12. If a CD player is programmed to play the CD tracks in random order, what is the probability that it will play six songs from a CD in order from your favourite to your least favourite? B) 2 C) E) 720 360 13. A group of eight grade 11 and five grade 12 students wish to be on the senior prom committee. The committee will consist of three students. What is the probability that only grade 12 students will be elected, assuming that all students have an equal chance of being elected? A) 12 C) D) 5 E) 12 F) 13 13 13 W C 3