Question
Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow0}\frac{\cos2\text{x}-1}{\cos\text{x}-1}$
$\lim\limits_{\text{x}\rightarrow0}\frac{\cos2\text{x}-1}{\cos\text{x}-1}$
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$C_1$
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$C_2$ | |
| $(a)$ |
In how many ways committee can be formed.
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$(i)$ | $^{10}C_2 \times ^{19}C_3$ |
| $(b)$ |
In how many ways a particular professor is included.
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$(ii)$ | $^{10}C_2 \times ^{19}C_2$ |
| $(c)$ |
In how many ways a particular lecturer is included.
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$(iii)$ | $^9C_1 \times ^{20}C_3$ |
| $(d)$ |
In how many ways a particular lecturer is excluded.
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$(iv)$ | $^{10}C_2\times ^{20}C_3$ |