Pascal Triangle

Q. If $n={}^m{C}_2$, then the value of ${}^n{C}_2$ is

1. ${}^{m+1}{C}_4$
2. $2{}^{m+1}{C}_2$
3. $3{}^{m+1}{C}_4$
4. $3{}^{m+1}{C}_2$

Q.

$3x+23x^2+6y^2+2x+y^2+\_\_\_\_\_\_\_\_\_\_\_\_=5x+7y^2.$

Q. If the number of terms in the expansion of $(a+b{)}^{n^2+3}$ is $7$, then the number of value(s) of $n,(n\in N)$ is

Q. If the number of terms in $(a+b{)}^{n^2+3}$ and $(c+d{)}^{3n+4}$ are same, where $a,b,c,d\ne 0,n\in N$, then the number of possible value(s) of $n$ is

1. $0$
2. $1$
3. $2$
4. More than $2$ but finite.

Q. The number of words that can be formed by the letters of $SOURCE$ is

1. $8!$
2. $7!$
3. $9!$
4. $6!$

Q. The value of $\left[\right(\sqrt{3}+\sqrt{2}{)}^6]$ is
( Here, $[.]$ represents the greatest integer function )

Q. The value of $\left[\right(\sqrt{3}+\sqrt{2}{)}^6]$ is
( Here, $[.]$ represents the greatest integer function )

Q. The number of words that can be formed by the letters of $WORDS$ is

Q. If the number of terms in $(a+b{)}^{n^2+3}$ and $(c+d{)}^{3n+4}$ are same, where $a,b,c,d\ne 0,n\in N$, then the number of possible value(s) of $n$ is

1. $0$
2. $1$
3. $2$
4. More than $2$ but finite.

Q. If ${}^{18}{C}_{2r}={}^{18}{C}_{r+3}$, then the value of $r$ is/are

1. $2$
2. $3$
3. $4$
4. $5$