H2 - Mathematics 30-1 Module 8 H2 1 Lesson 2 Assignment...

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Mathematics 30-1: Module 8 1 Lesson 2 Assignment H2: MODULE 8 LESSON 2 ASSIGNMENT (Permutations) /40 marks 1. Manny needs to create a four-digit password for his cellphone. If no digits can be repeated, in how many ways can this task be done? Answer: (4) 2. How many three-letter arrangements can be made from the letters in VERTICAL if no letter can be used more than once and each arrangement is made up of a vowel between two consonants? Answer: (4) © 2012 Alberta Education
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Mathematics 30-1: Module 8 2 Lesson 2 Assignment 3. In a gymnastics club, 10 gymnasts practise forming a human pyramid. The pyramid uses only 6 gymnasts at any one time. There are 3 gymnasts in the bottom row, 2 in the second row, and 1 at the top. If any gymnast can fill any position in the pyramid, how many different arrangements of gymnasts are there? Answer: (4) © 2012 Alberta Education
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Mathematics 30-1: Module 8 3 Lesson 2 Assignment 4. Bart wants to plant 8 trees in a row along his fence. He has been given 4 birches, 1 spruce, 1 poplar, 1 willow, and 1 elm. If the 4 birches are identical, how many possible arrangements of
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