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The number of integers $x, y, z, w$ such that $x + y + z + w = 20$ and $x, y, z, w \geq - 1,$ is

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Correct option is D

Put x=a−1,y=b−1,z=c−1,w=d−1then a,b,c,d≥0 and (a−1)+(b−1)+(c−1)+(d−1)=20⇒ a+b+c+d=24The number of non-negative integral solutions of this equationis 24+4−1C4−1=27C3

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The number of integers x, y, z, w such that x + y + z + w = 20 and x, y, z, w ≥ – 1, is

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The number of integers $x, y, z, w$ such that $x + y + z + w = 20$ and $x, y, z, w \geq - 1,$ is