Discussion
If Ping received more votes than Jazz, then what is the maximum possible number of names whose ranks can be determined?
*This question is included in Sequencing: Lesson Set 2 (of 5) - Variable Chains, question #17
| (A) | two |
| (B) | ... |
| (C) | ... |
| (D) | ... |
| (E) | ... |
| (F) | ... |
The solution is
Posted: 10/09/2012 21:40
L gets more votes than P
P gets more than J
J gets more than O
Only three drinks can get less than O and M is least
O must be 4th highest
J 3rd
P 2nd
L most
M Least
That is five that are set. Any variation would break a rule.
P gets more than J
J gets more than O
Only three drinks can get less than O and M is least
O must be 4th highest
J 3rd
P 2nd
L most
M Least
That is five that are set. Any variation would break a rule.
Posted: 10/18/2012 00:05
Hi, Ev -
Your reasoning overlooks the fact that there are no restrictions on N's location except that it comes after P and is not last. More particularly, it can come after P but before J. If we diagram out the known restrictions of the problem, we get something like the following:
L - P - - J - - O - - K - - M
| | | |
N N N N
In other words, the relative order of L, P, J, O, K, and M is determined, but N can go in any position except before L, between L and P, or after M (last). Thus the only items whose positions can be determined absolutely are L, P and M.
Please feel free to post again if you still have questions.
Best,
Lyn
Your reasoning overlooks the fact that there are no restrictions on N's location except that it comes after P and is not last. More particularly, it can come after P but before J. If we diagram out the known restrictions of the problem, we get something like the following:
L - P - - J - - O - - K - - M
| | | |
N N N N
In other words, the relative order of L, P, J, O, K, and M is determined, but N can go in any position except before L, between L and P, or after M (last). Thus the only items whose positions can be determined absolutely are L, P and M.
Please feel free to post again if you still have questions.
Best,
Lyn
Posted: 10/17/2012 01:58
Ev, did you have a question, or was just sharing your logic?