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When (x + y)^(11) is expanded, what is the sum of the coefficients?

 May 13, 2020
 #1
avatar+21953 
+1

Sum  =  11C0 +  11C1 + 11C2 +  11C3 +   11C4 +  11C5 +  11C6 +  11C7 +  11C8 +  11C9 +  11C10 +  11C11

    or  =  1 + 11 + 55 + 165 + 330 + 462 + 462 + ... + 1

 May 13, 2020
 #2
avatar+111456 
+1

The sum of the coefficients  is just  the  sum of the coefficients in the 11th row of Pascal's Triangle

 

This is given  by  2^11  =   2048

 

 

cool cool cool

 May 14, 2020

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