Arun Sharma Solutions for Exercise 1: Review Test

Consider a polygon of n sides. Find the number of triangles, none of whose side is the side of the polygon.

The number of 4 digit numbers that can be formed using the digits 0, 2, 3, 5 without repetition is

Find the total number of words that can be made by using all the letters from the word MACHINE, using them once.

Find the probability of drawing one ace in a single draw of one card out of 52 cards.

In how many ways can a committee of $4$ persons be made from a group of $10$ people, so what is the number of ways of forming the committee, if a particular member must be there in the committee?

A polygon has $54$ diagonals. The numbers of sides of this polygon are -

An anti-aircraft gun can take a maximum of $4$ Shots at an enemy plane moving away from it, the probabilities of hitting the plane at first, second, third, and fourth shots are $0.4, 0.3, 0.2$ and $0.1$ Respectively. What is the probability that the gun hits the plane?

$7$ white balls and $3$ black balls are placed in a row at random. Find the probability that no two black balls are adjacent.