If ^{43}{C_{r - 6}} = {,^{43}}{C_{3r + 1}}, t | vedclass

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Question

(a)  Given, $^{43}{C_{r - 6}}\, = {\,^{43}}{C_{3r + 1}}$

==> $r - 6 = 3r + 1$ or $r - 6 + 3r + 1 = 43$

==> $r = - \frac{7}{2}$ (impos

Vedclass · Accepted Answer

$12$

Vedclass · Answer

(a)  Given, $^{43}{C_{r - 6}}\, = {\,^{43}}{C_{3r + 1}}$

==> $r - 6 = 3r + 1$ or $r - 6 + 3r + 1 = 43$

==> $r = - \frac{7}{2}$ (impossible) or $r = 12$.

If $^{43}{C_{r - 6}} = {\,^{43}}{C_{3r + 1}},$ then the value of $r$ is

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