1.

Consider the expansion of (a+b+c+d)^(6). Then thesum of all the coefficients of the term Which contains all of a,b,c, and d is

Answer»

4096
1560
3367
670

Solution :We have `(a+b+c+d)^(6)`
SUM of coefficient which contains all of a,b,c and d
= Number of ways of distributing six DISTINCT OBJECTS infourt boxes such that no box remains EMPTY
`= 4^(6) - .^(4)C_(1)3^(6) +.^(4)C_(1) - .^(4)C_(1)1^(6) = 1560`


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