Answer:
35
Step-by-step explanation:
i dont know how to explain how i got the anwser
Answer:
45 handshakes will take place in total in the party
Step-by-step explanation:
Total number of students who attended the party = 10
Number of students needed to make one handshake = 2
Given that : no handshake will occur more than once.
⇒ No repetition of handshakes will be there.\
We need to find the total number of handshakes that took place in the party
[tex]\implies\text{Total number of handshakes = }_2^{10}\txterm{C}[/tex]
[tex]\implies\text{Total number of handshakes = }\frac{10!}{2!\times 8!}[/tex]
[tex]\implies\text{Total number of handshakes = }\frac{10\times 9}{2}[/tex]
[tex]\implies\text{Total number of handshakes = }45[/tex]
Therefore, 45 handshakes will take place in total in the party
