jay invited 10 of his friends on his birthday if all of them greeted each other with handshake then how many handshake will take place
Answers
Answer:
55 handshakes
Step-by-step explanation:
There is simple and easy formula n(n+1)/2
To work this out.
Just substitute n=10.And Voila!
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Answer:
if in a party ,10 people shake hands with each other….The first person will shake hand with 9 others…
1st person=9 Shake hands
Then the second person will shake hands with 8 other persons because he had already shaken hand with the first person.
2nd person=8 Shake hands(1 Shakehand already done with the first person)
Similarly,3rd person will shake hand with 7 other persons….And This series will go on…
i.e. 3rd person=7 Shake hands,4th person=6 Shake hands…and so on….
Thus,total number of shake hands=9+8+7+6+5+4+3+2+1=45 Shake Hands
Alternatively,
Using formula,
n(n-1)/2
Where, ”n” is number of persons.
That is ,when 10 person shake hands with 9 others . No of Combinations are 10*(10–1)=90
But if one person shake hand with the other there will be no vice versa combination…
For Example,if a shake hand with b ,b would not again shake hand with a…
Thus ,we have to divide the total combinations by 2 in order to avoid repeatitive combination…
Thus, 90/2=45
step by step answer:
the answer is 45 hope this helps plss mark me as the brainliest that means a lot to me!!!!