Questions
The number of ways in which 16 identical things can be distributed among 4 persons if each person gets at least 3 things, is
detailed solution
Correct option is B
Required number = coefficient of x16 in (x3 + x4 + … + x7)4 = coefficient of x16 in x12 (1 + x + … + x4) = coefficient of x4 in 1−x51−x4= coefficient of x4 in 1−x54(1−x)−4= coefficient of x4 in 1−4x5+6x10−…(1−x)−4= coefficient of x4 in (1−x)−4=7C4=4⋅5⋅6⋅74!=35Similar Questions
is equal to
799 666 8865
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