There are 30 people in a party. If everyone is to shake hands with one another, how many hand shakes are possible?  Choose the correct answer: A) 435 B) 367 C) 361 D) 297 E) 261
Explanation:   Total number of persons = n = 30   Shakehands involve only 2 persons = r = 2   Number of shakehands = nCr = 30C2   30C2 = (30 * 29) /(2 * 1)= 
<gadget id="calculator">(30 * 29) /(2 * 1)</gadget>
<output>435</output>
435   nCr= (n!) / r! (n – r)!   = 30! / 2! 28!   = 435   435NSWER:435
<result>A</result>
There are 30 people in a party. If everyone is to shake hands with one another, how many hand shakes are possible?