Math miscellaneousHard

Question

In the expansion of (1 + x + y + z)4 the ratio of coefficient of x2y, xy2z, xyz are:-

Options

A.1 : 1 : 2
B.2 : 1 : 1
C.1 : 2 : 1
D.Not defined

Solution

(1 + x + y + z)4 → coefficient of x2y, xy2z, xyz
(4c1 3c2 1c1), (4c1 3c2 1c1), (4c1 3c1 2c1 1c1)
12 : 12 : 24
1 : 1 : 2

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