MISCELLANEOUS QUESTIONS. 237 



EXAMPLES. 



I. Suppose there are 4 companies, in each of which 

 there are 9 men ; it is required to fmd how many ways 4 

 men may be chosen, one out of each company ? 



9 

 9 



81 

 9 



729 

 9 



6561 



Or, 9X9X9X9 = 6561 the answer- 



2. Suppose there are 4 companies, in one of which 

 there are 6 men, in another 8, and in each of the other 

 two 9 ; what are the choices, by a composition of 4 men, 

 one out of each company ? Ans. 3888. 



3. How many changes are there in throwing 5 dice ? 



Ans. 7776^ 



■•*«*«<a^4f^C®s!^$^*»*-^ 



JjidlSCELLANEOVS ^ESTlONSp 



I. What difference is there between twice five and 

 twenty, and twice twenty-five ? Ans. 20. 



2. A was bom when B was 21 years of age : how old 

 will A be when B is 47 ; and what will be the age of B 

 when A is 60 ? Ans. A 26, B 81. 



3. What 



