If $\frac{{{}^{n + 2}{C_6}}}{{{}^{n - 2}{P_2}}} = 11$, then $n$ satisfies the equation
If $\frac{{{}^{n + 2}{C_6}}}{{{}^{n - 2}{P_2}}} = 11$, then $n$ satisfies the equation
- [JEE MAIN 2016]
- A
$n^2 + n - 110 =0$
- B
$n^2 + 2n - 80 =0$
- C
$n^2 +3n- 108=0$
- D
$n^2 + 5n - 84 =0$
Similar Questions
Total number of $3$ letter words that can be formed from the letters of the word $'SAHARANPUR'$ is equal to
Total number of $3$ letter words that can be formed from the letters of the word $'SAHARANPUR'$ is equal to
A country has ten smart cities. The government decides to connect all these cities by road. How many roads the government need to construct so that every city is connected to every other city ?
A country has ten smart cities. The government decides to connect all these cities by road. How many roads the government need to construct so that every city is connected to every other city ?
The value of $\sum\limits_{r = 1}^{15} {{r^2}\,\left( {\frac{{^{15}{C_r}}}{{^{15}{C_{r - 1}}}}} \right)} $ is equal to
The value of $\sum\limits_{r = 1}^{15} {{r^2}\,\left( {\frac{{^{15}{C_r}}}{{^{15}{C_{r - 1}}}}} \right)} $ is equal to
- [JEE MAIN 2016]
How many words, with or without meaning, each of $3$ vowels and $2$ consonants can be formed from the letters of the word $INVOLUTE$?
How many words, with or without meaning, each of $3$ vowels and $2$ consonants can be formed from the letters of the word $INVOLUTE$?
In how many ways can $5$ red and $4$ white balls be drawn from a bag containing $10$ red and $8$ white balls
In how many ways can $5$ red and $4$ white balls be drawn from a bag containing $10$ red and $8$ white balls