Men and Women

Problem How many different couples we can make if we are asked to select 5 women from 10 candidates and 5 men from 12 candidates. Solution There are 10 choose 5 different ways to select the women: 10!/(10-5)!5! = 252 …

Read more »

Cars and Drivers

Problem We have 4 drivers and 4 cars. If two cars can only be driven by two drivers and the other two cars can be driven by any driver. How many different ways the drivers can drive the cars. Solution …

Read more »

Playing Cards – One Ace in each Hand

Problem In playing cards what is the probability that each of the four players gets an ace Solution Each player gets 13 cards out of 52 so there are: (52 choose 13)(39 choose 13)(26 choose 13)(13 choose 13) = (52!/39!13!)(39!/26!13!)(26!/13!13!) …

Read more »

Random Number in C

Problem We want to generate a random number between 100 and 499. what is the probability of generating a random number which has at least one digit = 1 for example 115. What is the probability of generating a random …

Read more »

Probability Selecting Marbles

Problem A bag of marbles containing 4 white marbles and 6 red marbles. If we randomly select two marbles from the bag what is the probability that the selected marbles are of different colors in other words one white and …

Read more »

Playing Cards

Problem In playing cards what is the probability to get exactly one pair (for example (1,1), (2,2)) if we draw 5 cards Solution Step one is to compute how many possibilities we have if we draw 5 cards without any …

Read more »

Binomial Theorem Example

Subsets Using Binomial Theorem How many subsets we can make from the numbers between 1 and 5 Solution The naive way to compute that is to enumerate all possibilities as follows: Groups of 1: 1, 2, 3, 4, 5 Groups …

Read more »

Page 20 of 30« First...10...1819202122...30...Last »