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Consider polynomials in a single variable $x$ of degree $d$. Suppose $d < n/2$. For such a polynomial $p(x)$, let $C_{p}$ denote the $n$-tuple $(P\left ( i \right ))_{1 \leq i \leq n}$. For any two such distinct polynomials $p, q,$ the number of coordinates where the tuples $C_{p}, C_{q}$ differ is.

  1. At most $d$
  2. At most $n - d$
  3. Between $d$ and $n - d$
  4. At least $n - d$
  5. None of the above.
asked in Numerical Ability by Veteran (42.4k points) | 62 views

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