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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?
1. 35
2. 28
3. 43
4. 30

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Correct Answer - Option 2 : 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

= 15 × 3.5

= 28

Here, number of handshakes exchanged is 28.

Hence, the correct answer is "28"

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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