PERMUTATION AND COMBINATION. 22^ 



. EXAMPLES. 



I. How many changes may be made with these three 



letters, abc ? 



I 



2 Or 1X2X32=6 the answer. 



6 The changcoi 



ahc 

 acb 



hac 

 lea 

 cab 



cla 



2. How many changes may be rung On 6 bells ? 



Ans. 720.' 



3. For how many days can 7 persons be placed in a dif- 

 ferent position at dinner ? 



Ans. 5040 days. 



4. How many changes riiay be rung on 12 bells, and 

 how long would they be in ringing, supposing 10 changes 

 to be rung in i minute^ and the yea): tp^ consist of 365 

 days, 5 hours and 49 minutes ? v^.^ 



Ans. 479001600 changes, and 9iy. 26d. 22h. 41m. 



^. How many changes may be made of the words in 

 the following verse ? 7i/ tibi sunt dotes, virgo^ quot sydera 

 coeh, 



Aris. 40320. 



PROBLEM 

 E t 



