a,b,c,d are odd natural numbers such that a+b+c+d = 20, then number of – InterviewSolution

1.

a,b,c,d are odd natural numbers such that a+b+c+d = 20, then number of quadrapulets (a,b,c,d) is (a) 165 (b) 455 (c) 310 (d) 255

Answer»

Correct option (a) 165

Explanation:

Let a = 2p + 1, b = 2q + 1, c = 2r + 1, d = 2s + 1

⇒ p + q + r + s = 8

^8+4–1C_4–1= ¹¹C₃ = 165 (distribution of alike objects)

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