10 people are there they are shaking hand together how many handshakes are possible if they are in no pair

its answer is 9.
not 10C2
as when we select the 2 people out of 10.their are cyclic sequences.
e.g.if we assume x,y,z are 3 people among 10 people.
then if we select the 2 people out of them it will xy,yz,zx.
their are a cyclic sequence.
so without no pair of cyclic sequence result is (10-1)= 9
11 years agoHelpfull: Yes(8) No(2)
(10*9)/2=45
11 years agoHelpfull: Yes(5) No(5)
10C2=45
we select the 2 people out of 10.
that is the Number of handshake.
11 years agoHelpfull: Yes(5) No(4)
9+8+7+6+5+4+3+2+1=45 ways(ans)
11 years agoHelpfull: Yes(2) No(5)
when n is even and said that it is to be cyclic order, do n/2

when n is odd and said that it is to be cyclic order, do n/3

when n is odd or even but system in not cyclic , do n-1

so here n = 10(even),but system is not cyclic

ans will be = (n-1) = 10-1 = 9 (ans)
11 years agoHelpfull: Yes(1) No(2)
10c2 = 10*9/2 = 45
11 years agoHelpfull: Yes(0) No(3)
(n-1) handshakes.
so answer is 10-1=9.
11 years agoHelpfull: Yes(0) No(3)
ans 10
hint : cyclic mean no reapetaion
therefore n=10
11 years agoHelpfull: Yes(0) No(2)
in a non cycle sequence there must be 10-1=9 handshakes are possible
11 years agoHelpfull: Yes(0) No(0)
People , 9 handshakes happen when its given when One person has to shake hands without repeating. here there is no such condition. so 10c2 = 45 is the ans !!!!
11 years agoHelpfull: Yes(0) No(0)

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