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Q.

If $^{n} c_{r}$ denots the number of combinations formed from n things by taking r at a time, then the domain of the function $g (x) =^{(16 - x)} c_{(2 x - 1)}$ is___

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a

$\{0\}$

b

$\{1, 2, 3, 4, 5\}$

c

$\{0, 1, 2, 3, 4\}$

d

$ϕ$

answer is D.

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Detailed Solution

Now $16 - x > 0, 2 x - 1 \geq 0, 16 - x \geq 2 x - 1$
$\Rightarrow x < 16, x \geq \frac{1}{2}, x \leq \frac{17}{3}$
$∴ Dom. Of x \in {1, 2, 3, 4, 5}$

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