Question 1181005
How did you start it?   I don't see any work.  Post what you've tried and I'll gladly help where I can.
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<pre>
Yes... this is the start
   
1. (B ⊃ ∼M) ⊃ (T ⊃ ∼S)    Premise
2.  B ⊃ K                 Premise
3.  K ⊃ ∼M                Premise
4. ∼S ⊃ N                 Premise
// Show T ⊃ N by conditional proof

Leaving town, not likely to be able to log on until 6/1.
Here are the first few lines for you (I like to use :: for conditional proof lines):
5.::  B                   Conditional Proof (CP) assumption #1
6.::  K                   5,2 Modus Ponens (MP)
7.::  ~M                  6,3 MP
8.::  B ⊃ ~M              5-7 CP
9.::  
 
 
Continue from step 9.  Step 9 is an important conclusion from line 8 and line 1.  On step 10 you will need to make a 2nd CP assumption of T and show that it leads to N true (which will prove T ⊃ N).  

If all this looks foreign to you, you should talk to your instructor to get extra help.