Arihant Expert Team Solutions for Exercise 1: PRACTICE QUESTIONS for Phase I

How many triangles can be formed with $8$ non-collinear points lying in a plane?

A team of $16$ cricketers is selected for the ODI series. It consists of $10$ old players and $6$ new players. As a principle, it was decided that the team playing any of the matches must contain $8$ players. The number of ways the team can be selected, is

How many diagonals can be drawn in a heptagon?

The number of triangles that are formed by choosing the vertices from a set of $12$ points, seven of which lie on the same straight line, is

Out of $18$ points in a plane, no three are in the same straight line except five points which are collinear. The number of straight lines which can be formed joining them, is

The number of permutations that can be formed by arranging all the letters of the word 'NINETEEN’ in which no two E's occur together in

There are $10$ true-false questions. The number of ways in which they can be answered is

The number of $3$-digit numbers which can be formed from the digit $1, 2, 3, 4$ and $5$ if repetitions of digits is allowed, is: