Question

10 people are there, they are shaking hands together, how many hand shakes possible, if they are in no pair of cyclic sequence.

Answer 1

Answer:

45 no of shake hand is possible if they are in no pair of cyclic sequence.

I have just calculated generally without steps but 45 is the ans.. I hope you would write the steps

Answer 2

Answer:

45

Step-by-step explanation:

There are 10 peoples,

1,2,3,4,5,6,7,8,9,10.

first 1 can shake the hands with (1,2) (1,3) (1,4) (1,5) (1,6) (1,7) (1,8) (1,9) (1,10) = 9 Possibilities

Similarly,

for 2 = (2,3) .........(2,10) = 8 possibilities

for 3 = 7 possibilities

for 4 = 6 possibilities

for 5 = 5 possibilities

for 6 = 4 possibilities

for 7 = 3 possibilities

for 8 = 2 possbilities

for 9 = 1 possibilities

therefore total hand shake = 9+8+7+6+5+4+3+2+1 = 45

THANKING YOU