Permutation and Combination

Practice Permutation and Combination – In how many ways the word ENGINEERING can be arranged so that no vowel come together?

Practice Permutation and Combination – A box contains seven purple, five blue and eleven yellow balls. What is the minimum number of tries required to get one blue and one yellow ball ?

Practice Permutation and Combination – How many 4 digit integers formed between >990 and <5000 by using 0,4,5,7,8,9 repetition of integers are allowed?

Practice Permutation and Combination – In how many ways can the letters of the word COLLEGE be arranged,such that its vowels do not come together?

Practice Permutation and Combination – There are 4 consonants 3 vowels, how many 6 letter strings can you form with atleast one vowels in each?

Practice Permutation and Combination – There are 12 intermediate stations between two places A and B. Find the number of ways in which a train can be made to stop at 4 of these intermediate stations so that no two stopping stations are consecutive?

Practice Permutation and Combination – There are three prizes to be distributed among five students. If no students gets more than one prize, then this can be done in?

Practice Permutation and Combination – There are 10 seats around a circular table. If 8 men and 2 women have to seated around a circular table, such that no two women have to be separated by at least one man. If P and Q denote the respective number of ways of seating these people around a table when seats are numbered and unnumbered, then P : Q equals?

Practice Permutation and Combination – There are 20 balls which are red, blue or green. If 7 balls are green and the sum of red balls and green balls is less than 13, at most how many red balls are there?

Practice Permutation and Combination – There are 12 towns grouped in four zones with three towns per zone. It is intended to connect the towns with a telephone lines such that each every two towns are connected with three direct lines if they belong to the same zone, and with only one direct line otherwise. How many direct telephone lines are required ?

Practice Permutation and Combination – Out of n consecutive natural numbers, four numbers are selected such that the differences of all the possible pairs are distinct. What is the least value of n for which this is possible?

Practice Permutation and Combination – Out of 250 students of a college, 160 play football, 90 play cricket and 50 neither play football nor cricket. How many students play both football and cricket?

Practice Permutation and Combination – In how many ways can 10 engineers and 4 doctors be seated at a round table if all the 4 doctors do not sit together?

Practice Permutation and Combination – In how many ways a team of 11 must be selected from 5 men and 11 women such that the team must comprise of not more than 3 men?

Practice Permutation and Combination – In how many possible ways can write 3240 as a product of 3 positive integers a,b and c.