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If there are forty new students in a class and the students have to shake each others hand once, how many hand shakes will occur?

Pleas help me i am confused.............:(:(

i need a formula

3 answers

Each student shakes 39 hands.

40 * 39 = ?

so that would be 1560.....but my teacher want a formula so that it can work with any other number....please help

x(x - 1) = y

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