If a polygon has $44$ diagonals,then the number of its sides are

The number of words which can be formed from the letters of the word $MAXIMUM$,if two consonants cannot occur together,is

If $^8C_r = ^8C_{r+2}$,then the value of $^rC_2$ is

There are two urns. Urn $A$ has $3$ distinct red balls and urn $B$ has $9$ distinct blue balls. From each urn,two balls are taken out at random and then transferred to the other. The number of ways in which this can be done is

$A$ car can hold $2$ people in the front seat and $1$ person in the rear seat. If among $6$ persons $2$ can drive,then the number of ways in which the car can be filled is

Find the number of triangles formed by $12$ points (out of which $4$ are collinear) in a plane.