Law School Discussion

Hi, I want to know how to translate the following into symbols, and what is the contrapositive of these.   


1. If yews are not in the park, then either laurels or oaks, but not both, are in the park.

2. If it is not the case that the park contains both laurels and oaks, then it contains firs and spruces.

Could anyone pls help with this one? 

Trust me, I've been practicing ALOT lately. Maybe I'm just burned out...
Not a good thing with 2 weeks before the actual exam 

Thanks Madeleine. You are really good 

Need BIG HELP on this one (with big explanations too)  ... It's a killer. 

J, K, L, M, and O are the clerks in a supermarket. The supermarket has exactly 9 parallel aisles, numbered consecutively 1-9 from one end of the store to the other. ach aisle is stocked by exactly one clerk and no clerk stocks more than two aisles. Stocking asignments must meet the following conditions:
 O stocks exactly 1 aisle
 K stocks aisle 2
 M does not stock aisle 1
 J does not stock consecutive aisles
 K stocks the only aisle between the two aisles M stocks
 Exactly one of L's aisles is an end aisle
 O's aisle is numbered higher than either of K's aisles, and lower that at least one of L's


1. Which one of the following clerks could stock two consecutive aisles?
a) J
b) K
c) L
d) M
e) O

2. Which one of the following is a pair of clerks, neither of whom could stock aisle 5?
a) J and M
b) K and O
c) L and M
d) K and M
e) L and O

3. Which one of the following is a complete and acurate list of clerks, any one of whom could stock aisle 3?
a) J, K, L
b) J, L, M
c) J, L, O
d) J, K, L, M
e) J, K, L, O

4. Which one of the following is a complete and accurate list of aisles, any one of which could be noe of the aisles M stocks?
a) 1, 3, 4, 5
b) 3, 5, 7, 9
c) 3, 4, 5, 6
d) 3, 4, 5, 6, 7
e) 3, 5, 7

5. If L's aisles areseparated by the maximum number of aisles that could separate her aisles, which one of teh following could be true?
a) J stocks aisle 6
b) M stocks aisle 7
c) both of J's aisles are numbered lower thatn O's
d) J stocks only even-numbered aisles
e) only one clerk stocks a higher numbered aisle that O does

6. If J stocks aisle 3, then which one of the following CANNOT be true?
a) J stocks aisle 9
b) K stocks aisle 6
c) L stocks aisle 4
d) M stocks aisle 4
e) O stocks aisle 6

7. Suppose that, rather than just one, L stocks both end aisles; all other conditions remaining in effect, which one of the following CANNOT be true?
a) J stocks aisle 3
b) O stocks aisle 6
c) O stocks the only aisle between the two aisles that J stocks
d) K stocks only even-numbered aisles
e) one of L's aisles is immediately next to O's