It was simran's first day at school that teacher suggested that it would be a good idea for each child to meet every other child in the class. the teacher said, "when you meet me shake hands and introduce yourself by name. " if there were seven children in the class how many total handshakes were there?
nithin94:
hi
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14
There are seven children and a teacher
So The total number of handshakes are
So Total handshakes are 28
Answered by
13
Hey there !!
→ Common sense :- We know that for a handshake,we need two people.
And, total number of people = 7.
Therefore, we need to select two people from a group of 7.
→ By Applying the concept of combinations, we get
Number of ways of selecting two children out of 7 = 7C2
7C2= 7!/(2! × 5!)=21
✔✔ Hence, number of handshakes=21 . ✅✅
THANKS
#BeBrainly.
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