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The number of integer values of \(x\) for which \(\binom{17-x}{3x+1}\) is defined is

Question and options

The number of integer values of xx for which (17−x3x+1)\binom{17-x}{3x+1} is defined is
  1. 6
  2. 2
  3. 4
  4. 5

Answer and explanation

Correct answer: D - 5
Need integers with 0 <= 3x+1 <= 17-x: x >= 0 and 4x <= 16, so x = 0,1,2,3,4: 5 values.

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