Consider the expansion of `(a+b+c+d)^(6)`. Then the sum of all the coefficients of the term Which contains all of `a,b,c,` and d is
Consider the expansion of `(a+b+c+d)^(6)`. Then the sum of all the coefficients of the term
Which contains all of `a,b,c,` and d is
A. 4096
B. 1560
C. 3367
D. 670
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Correct Answer - B
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 in fourt 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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