A) {1, 2, 3, 4}
B) {1, 2, 3, 4, 5, 6}
C) {1, 2, 3}
D) {1, 2, 3, 4, 5}
E) \[\phi \]
Correct Answer: C
Solution :
Given function is\[f(n){{=}^{8-n}}{{P}_{n-4}},4\le n\le 6\].It is denned, if 1. \[8-n>0\Rightarrow n<8\] ...(i) 2. \[n-4\ge 0\Rightarrow n\ge 4\] ...(ii) 3. \[n-4\le 8-n\] \[\Rightarrow \] \[2n\le 12\Rightarrow n\le 6\] ...(iii) From Eqs. (i), (ii) and (iii), we get \[n=4, 5, 6\] Hence, range of \[f(n)={{\{}^{4}}{{p}_{0}}{{,}^{3}}{{p}_{1}}{{,}^{2}}{{p}_{2}}\}\] \[=\{1,3,2\}\]
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