Category: General Questions

Problem – 17 Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from…

Problem – 16 What is the probability that a fair die never comes up an even number when it is rolled ten times?   Solution : Probability to rolled the die for…

Problem – 15 What is the probability that a five-card poker hand contains the three of hearts, the two of clubs and the jack of diamonds?   Solution : For first three cards…

Problem – 14 How many different strings can be made from the letters in EVERGREEN, using all the letters?   Solution : Total number of different string we can made…

Problem – 13 How many ways are there to distribute seven indistinguishable balls into seven distinguishable bins?   Solution : Distributing k indistinguishable balls into n distinguishable boxes, without exclusion, corresponds to…

Problem – 12 How many solutions are there to the equation? x1+x2+x3+x4+x5=23, where xi, i=1, 2, 3, 4, 5, is a nonnegative integer such that a) x1≥1? b) xi≥1 for i=1, 2,…

Problem – 11 How many ways are there to assign three jobs to nineteen employees if each employee can be given more than one job?   Solution: Different ways to assign three…

Problem – 10 In how many different ways can nine elements be selected in order from a set with four elements when repetition is allowed?   Solution: Different ways to select…

Problem – 9 What is the coefficient of  in ?   Solution: Binomial theorem for (x+y)n = nC0xny0 + nC1xn-1y1+ nC2xn-2y2 + nC3xn-3y3 +…………+ nCn-1x1yn-1+ nCnx0yn Using the Binomial theorem,…

Problem – 8 Find the coefficient of in .   Solution: Binomial theorem for (x+y)n = nC0xny0 + nC1xn-1y1+ nC2xn-2y2 + nC3xn-3y3 +…………+ nCn-1x1yn-1+ nCnx0yn Using the Binomial theorem, coefficient…