NDA MATHEMATICS QUIZ - 4

There are 12 points in a plane out of these twelve points four points are collinear and with the exception of these four points no three points are in the same straight line. On the basis of this information answer the following question. 

The number of quadrilaterals formed by joining these 12 points equals.

A telegraph has 5 arms and each arms is capable of 4 distinct position including the rest position. The total number of signals that can be made is:

How many number of 4 digits can be formed with the digits $0,1,2,3,4,5$ if the repeatition of digits is not allowed?

In an election, a voter may vote for any number of candidates  not greater than the number to be chosen. There are 10 candidates and 6 members are to be chosen. The number of ways in which a voter vote for at least one candidate is given by.

Number of positive integral solutions of $x y z$ $=30$ is.

There are 8 officers and 4 subordinates and out of these 12 members  a committee of 5 is to be formed . Then answer the following question. 

Number of committee consisting at most 2 subordinates is.

There are 8 officers and 4 subordinates and out of these 12 members  a committee of 5 is to be formed . Then answer the following question. 

Number of committee in which a particular officer is always included is:

There are 8 officers and 4 subordinates and out of these 12 members  a committee of 5 is to be formed . Then answer the following question.

Number of committee consisting of 3 officers and 2 subordinates is.

There are 12 points in a plane out of these twelve points four points are collinear and with the exception of these four points no three points are in the same straight line. On the basis of this information answer the following question.

Number of triangles formed by joining these 12 points equals.

There are 12 points in a plane out of these twelve points four points are collinear and with the exception of these four points no three points are in the same straight line. On the basis of this information answer the following question.

The number of straight line formed by joining these ten points is: