Statistics

There are four balls of different colors. Two balls at a time are taken and arranged any way. How many such combinations are possible?

How many \(6\)-number combinations can be generated from the numbers from \(1\) to \(42\) inclusive, without repetition and with no regards to the order of the numbers?

Find the total number of combinations of three letters, J, R, T taken \(1\), \(2\), \(3\) at a time.

In how many ways can you invite one or more of your five friends in a party?

In how many ways can a committee of three consisting of two chemical engineers and one mechanical engineer can be formed from four chemical engineers and three mechanical engineers?

In Mathematics examination, a student may select \(7\) problems from a set of \(10\) problems. In how many ways can he make his choice?

How many committees can be formed by choosing \(4\) men from an organization of a membership of \(15\) men?

A semiconductor company will hire \(7\) men and \(4\) women. In how many ways can the company choose from \(9\) men and \(6\) women who qualified for the position?

There are \(13\) teams in a tournament. Each team is to play with each other only once. What is the minimum number of days can they all play without any team playing more than one game in any day?

There are five main roads between the cities A and B, and four between B and C. In how many ways can a person drive from A to C and return, going through B on both trips without driving on the same road twice?

There are \(50\) tickets in a lottery in which there is a first and second prize. What is the probability of a man drawing a prize if he owns \(5\) tickets?

Roll a pair of dice. What is the probability that the sum of two numbers is \(11\)?

Roll two dice once. What is the probability that the sum is \(7\)?

In a throw of two dice, the probability of obtaining a total of \(10\) or \(12\) is

Determine the probability of drawing either a king or a diamond in a single draw from a pack of \(52\) playing cards.

A card is drawn from a deck of \(52\) playing cards. Find the probability of drawing a king or a red card.

A coin is tossed \(3\) times. What is the probability of getting \(3\) tails up?

The probability of getting at least \(2\) heads when a coin is tossed four times is,

A fair coin is tossed three times. What is the probability of getting either \(3\) heads or \(3\) tail?

The probability of getting a credit in an examination is \(1/3\). If three students are selected at random, what is the probability that at least one of them got a credit?