Value $\sum\limits_{r = 0}^{15} {\left( {{}^{15}{C_r}{}^{40}{C_{15}}{}^{20}{C_r} - {}^{35}{C_{15}}{}^{15}{C_r}{}^{25}{C_r}} \right)} $ is-

  • A

    $0$

  • B

    ${{}^{40}{C_{15}} - {}^{35}{C_{15}}}$

  • C

    ${{}^{35}{C_{15}} - {}^{40}{C_{15}}}$

  • D

    $^{40}C_{15}$

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