ALGEBRA 



(n + m i) I 



(m i)lnl 

 e.g., n = 6, m = 3 : 



Group i 6554443333222221111110000000 

 Group 2 0102013021403125041326051423 =28 

 Group 3 0010210312041320514230615243 



1.408 Given n similar elements. The number of ways they can be combined 

 into m different groups when blank groups are not allowed, so that each group 

 shall contain at least one element, is 



(n-i)l- 



(m i) ! (n m) 1 



BINOMIAL COEFFICIENTS 



1.51 



n nl ( n \ _ r _ n(n - i)(n - 2) . . . (n - k + i) 



(n-k) = 



_ _ _ 



kl(n-k)\~n-k = k\ 



. I } 



o if n < k. 



10. I 



II. 



