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dem82 [27]
3 years ago
11

If nine people are in a room and every person shakes hands exactly once with each of the other people, how many handshakes will

occur
Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0
The total number of handshakes =  8 + 7 + 6 + 5  + 4 + 3 + 2 + 1  = 36


Answer: 36 handshakes
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First six shipments:
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For problems like this, we need to find the pattern between the set of numbers to create a general equation for f(x). Given that x is the shipment number, let us first observe the first six shipments' behavior.
1  10 |
2  16 = 10 + 1(6) |
3  22 = 10 + 2(6) |
4  28 = 10 + 3(6)|  
5  34 = 10 + 4(6) |
6  40 = 10 + 5(6) |

From these, we can observe that given x number of shipments, the total number of objects would be 10 + (x-1)6 = 10 + 6x - 6 = 6x +4. Thus, given f(x), we have 

f(x) = 6x + 4
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