If 4 people are selected from a group of 7 married couples, what is the probability that none of them would be married to each other?
Choose the correct choice from the following answers.
A) 1/33  B) 2/33  C) 1/3  D) 16/33  E) 47/84
If we are to select 4 people from 7 couples WITHOUT any restriction, how many ways can we make the selection? 14!/4!10! =1001   If we are to select 4 people from 7 couples WITH restriction that no married couple can both make it to the group, only a representative?   7!/4!3! = 35   But we know that to select a person from each couple, take 2 possibilities     35*2*2*2*2= 
<gadget id="calculator">  35*2*2*2*2</gadget>
<output>560</output>
560   Probability= Desired/All Possibilities = 560/1001 = 47/84   Answer: 47/84
<result>E</result>
If 4 people are selected from a group of 7 married couples, what is the probability that none of them would be married to each other?