Question

A Cricket team of 23 people all shake hands with each other exactly once. How many hand shakes occur ?

Answer 1

Answer:

253

Step-by-step explanation:

Let us Consider One Person is Shaking Hand With Other 22 Members

So, By Using ∑n = n(n+1)/2

Here n = 22

So, 22*(22+1)/2

= 11*23

= 253

Answer 2

4

Q:

A Cricket team of 23 people all shake hands with each other exactly once. How many hand shakes occur ?

A) 142B) 175C) 212D) 253

Answer:   D) 253 

Explanation:

The first person shakes hands with 22 different people, the second person also shakes hands with 22 different people, but one of those handshakes was counted in the 22 for the first person, so the second person actually shakes hands with 21 new people. The third person, 20 people, and so on... 
So, 
22 + 21 + 20 + 19 + 18 + 17 + 16 + 15 + 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1
= n(n+1)/2 = 22 x 23 /2 = 11 x 23 = 253.