There are 10 persons in a party. If each one of them shakes hands with others exactly once, the total number of handshakes is - Mathematics and Science MCQ UPTET Paper 2 (Maths & Science) 2026 | ExamTest.live

easyMCQUPTET Paper 2 (Maths & Science)2026Mathematics and Science

1 mark

There are 10 persons in a party. If each one of them shakes hands with others exactly once, the total number of handshakes is

Solution & Step-by-step Explanation

A handshake requires a unique combination of 2 distinct people out of the total n = 10 people. This can be calculated using the combination formula^{n} C_{2} : Total handshakes = \frac{n ( n - 1 )}{2} = \frac{10 \times 9}{2} = 5 \times 9 = 45

Try it yourself before checking the explanation above.

There are 10 persons in a party. If each one of them shakes hands with others exactly once, the total number of handshakes is

105

55

45

None of these

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