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Let K be the number of pairs of positive integers (a, b) with 1 <= a, b <= 10. Let L be the number of pairs of positive integers (c, d) with 1 <= c, d <= 10. Let M be the number of pairs of positive integers (e, f) with 1 <= e <= f <= 10. Compute K, L, and M.

 Jun 30, 2021
 #1
avatar+120966 
+1

Assuming that  a can equal b   and  c can equal  d, then  K + L + M  = 

 

(K   +    L)     +   M   = 

 

2(10C2  + 10)  +  [ 10  + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 ]  =  

 

2  (45  +  10)   +  55 = 

 

2 (55 )  +  55  =

 

3 (55)   =

 

165

 

 

cool cool cool

 Jun 30, 2021

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