Permutations and Combinations help

  • #1
Having problems with question 9 and what I came up was


Case 1:
1st person gets 1 And
2nd person gets 3

OR

Case 2:
1st person gets 3 And
2nd person gets 1

OR

Case 3
They both get 2

And seeing that they are both dependent events so that once a person receives an article it affects the amount the next person gets. I used permutations for each of the two scenarios for each case, multiplied them and added them all together but I don't get the correct answer which is 14. What am I doing wrong???
 

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  • #2
phinds
Science Advisor
Insights Author
Gold Member
16,721
7,399
Having problems with question 9 and what I came up was


Case 1:
1st person gets 1 And
2nd person gets 3

OR

Case 2:
1st person gets 3 And
2nd person gets 1

OR

Case 3
They both get 2

And seeing that they are both dependent events so that once a person receives an article it affects the amount the next person gets. I used permutations for each of the two scenarios for each case, multiplied them and added them all together but I don't get the correct answer which is 14. What am I doing wrong???
Are the articles supposed to be distinguishable? Do you reckon it matters?
 
  • #3
mathman
Science Advisor
7,898
461
As long as the 4 articles are distinguishable, 14 is correct. Cases 1 and 2 have 4 possibilities each, while case 3 has 6.
 

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