Permutations and Combinations questions
785 published questions with worked solutions.
- If the letters of the word LATE be permuted and the words so formed be arranged as in a dictionary. Then, the rank of LATE is
- In a group of boys, two boys are brothers and in this group, 6 more boys are there. In how many ways, they can sit if the...
- The number of words which can be made out of the letters of the word "MOBILE" when consonants always occupy odd places, is
- The number of arrangements which can be made using all the letters of the word LAUGH, if the vowels are adjacent, is
- If the permutations of a,b,c,d,e taken all together be written down in alphabetical order as in dictionary and numbered, then the...
- The number of all five digit numbers which are divisible by 4 that can be formed from the digits 0,1,2,3,4 (without repetition) is
- If r>p>q, the number of different selections of p+q thing taking r at a time, where p things are identical and q other things are...
- At an election there are five candidates and three members to be elected, and an elector may vote for any number of candidates...
- The number of ways choosing a committee of 4 woman and 5 men from 10 women and 9 men, if Mr. A refuses to serve on the committee...
- The number of ways to arrange the letters of the word CHEESE are
- If ^ 12 P_r= ^ 11 P_6+6 ^ 11 P_5 then r is equal to
- The total numbers of ways of dividing 15 things into groups of 8,4 and 3 respectively is
- The number of ways in which 8 different flowers can be strung to form a garland so that 4 particular flowers are never separated...
- The number of numbers that can be formed by using digits 1,2,3,4,3,2,1 so that odd digits always occupy odd places
- A code word consists of three letters of the English alphabet followed by two digits of the decimal system. If neither letter nor...
- There are n seats round a table numbered 1,2,3, ,n. The number of ways in which m( n) persons can take seat is
- The exponent of 3 in 100!, is
- The total number of ways of arranging the letters AAAA ,BBB ,CC ,D ,E ,F in a row such that letters C are separated from one...
- A set contains (2n+1) elements. The number of subsets of this set containing more than n elements is equal to
- The number of ways of painting the faces of a cube with six different colours is
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