jee-main 2022 Q73

jee-main · India · session2_25jul_shift2 Combinations & Selection Counting Functions or Mappings with Constraints

The number of bijective functions $f:\{1,3,5,7,\cdots,99\} \rightarrow \{2,4,6,8,\cdots,100\}$ if $f(3) > f(5) > f(7) \cdots > f(99)$ is
(1) ${}^{50}C_1$
(2) ${}^{50}C_2$
(3) $\frac{50!}{2}$
(4) ${}^{50}C_3 \times 3!$

The number of bijective functions $f:\{1,3,5,7,\cdots,99\} \rightarrow \{2,4,6,8,\cdots,100\}$ if $f(3) > f(5) > f(7) \cdots > f(99)$ is\\
(1) ${}^{50}C_1$\\
(2) ${}^{50}C_2$\\
(3) $\frac{50!}{2}$\\
(4) ${}^{50}C_3 \times 3!$

Paper Questions

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