Correct Answer - Option 1 : 105
According to the given information,
The number of people present is n = 15.
The number of handshakes exchanged is,
n(n - 1) ÷ 2
= 15(15 - 1) ÷ 2
= 15(14) ÷ 2
= 15 × 14 ÷ 2
= 15 × 7
= 105
Here, number of handshakes exchanged is 105.
Hence, the correct answer is "105".
To find the number of solutions of two consecutive integers we can use the formula n(n - 1) ÷ 2, where n is an integer.
Here, we have 15 people so the maximum number of handshakes that can be done is 14. So, this formula is applicable here.
