Perms and Combs Review - MDM 4UI Review UNIT 2 Counting...

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MDM 4UI Review UNIT 2 – Counting Techniques 1. Simplify first and then evaluate. a) ! 218 ! 220 b) ! 215 ) 213 , 216 ( P 2. Express using factorials: a) 4 5 6 7 8 b) 8 32 c) P(15, 4) 3. In the film The Da Vinci Code, the main character must determine the correct word in a five-letter cryptex (a kind of combination lock where five rings of 26 letters must be rotated to spell a word). How many different arrangements of letter are possible? 4. You have lollypops of five different colours: red, green, blue, yellow, and orange. You want to make groups of three different-coloured lollypops to give out for Halloween. Determine the number of different groups you could make. 5. Jane, Hank, Aneesh, Grace and Eve are sitting side-by-side in a row. How many different ways can they be positioned in the row? 6. If there are ten people in a room, how many handshakes occur if each person shakes hands with each other person once? 7. How many arrangements are there of the letters in FERMAT if
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