Question 113

At the end of a business conference ,the ten people present all shake hands with each other once .How many hand shakes will therebe altogether

Solution

To find the total number of handshakes, we can use the formula for combinations:

$$^nC_2$$ where n is the number of people who shake hands.

For 10 people:

$$^{10}C_2$$ = $$\dfrac{10!}{8!2!}=\ \dfrac{10\times9}{2}$$ = 45

So, there will be 45 handshakes altogether.

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