Question: Assignment 5 Sequences and Series Assignment FMP 10 2. The number of handshakes between six people where ev- B eryone shakes hands with everyone else

Assignment 5 Sequences and Series Assignment FMP 10 2. The number of handshakes between six people where ev- B eryone shakes hands with everyone else only once may be modelled using a hexagon. If you join each of the six ver- tices in the hexagon to every other point in the hexagon, there are 5 + 4 + 3 + 2 + 1 lines. Therefore, there are 15 E lines. (a) What does the series 5 + 4 + 3 + 2 + 1 represent? /1 AIB CHD + 1 + (b) Write the series if there are 10 people in the room and everyone shakes hands with everyone else in the room once. 104 9 (c) How many handshakes occur in a room of 30 people? (d) Describe a similar situation in which this method of determining the number of handshakes may apply

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