MCQ
Given that $x > 0,$ the sum $\sum\limits^\infty_{\text{n}=1}\Big(\frac{\text{x}}{\text{x}+1}\Big)^{\text{n}-1}$ equals:
- A$\text{x}$
- ✓$\text{x}+1$
- C$\frac{\text{x}}{2\text{x}+1}$
- D$\frac{\text{x}+1}{2\text{x}+1}$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Match the Statements / Expressions in $Column I$ with the Statements / Expressions in $Column II$ and indicate your answer by darkening the appropriate bubbles in the $4 \times 4$ matrix given in the $ORS.$
| $Column I$ | $Column II$ |
| $(A)$ The number of permutations containing the word $ENDEA$ is | $(p)$ $5$ ! |
| $(B)$ The number of permutations in which the letter $E$ occurs in the first and the last positions is | $(q)$ $2 \times 5$ ! |
| $(C)$ The number of permutations in which none of the letters $\mathrm{D}, \mathrm{L}, \mathrm{N}$ occurs in the last five positions is | $(r)$ $7 \times 5$ ! |
| $(D)$ The number of permutations in which the letters $\mathrm{A}, \mathrm{E}, \mathrm{O}$ occur only in odd positions is | $(s)$ $21 \times 5$ ! |