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At the end of a party, the eight people present all shake hands with each other once. How many handshakes will there be altogether?

At the end of a party, the eight people present all shake hands with each other once. How many handshakes will there be altogether? Correct Answer 28

According to the given information,

The number of people present is n = 8.

The number of handshakes exchanged is,

n(n - 1) ÷ 2

= 8(8 - 1) ÷ 2

= 8(7) ÷ 2

= 8 × 7 ÷ 2

= 8 × 3.5

= 28

Here, number of handshakes exchanged is 28.

Hence, the correct answer is "28". 

Additional Information

To find the number of solutions of two consecutive integers we can use the formula n(n - 1) ÷ 2, where n is an integer.

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