Permutations and Combinations questions
785 published questions with worked solutions.
- S = 1, 2, 3, , 20 is to be partitioned into four sets A, B, C and D of equal size. The number of ways it can be done, is
- The number of ways, a team of 3 boys and 3 girls can be selected from 5 boys and 4 girls, is
- The number of ways a student can choose a programme of 5 courses, if 9 courses are available and 2 specific courses are...
- Out of 18 points in a plane, no three are in the same line except five points which are collinear. The number of lines that can...
- A boy has 3 library tickets and 8 books of his interest in library. Out of these 8 books, he does not want to borrow Chemistry...
- If C(28, 2r) = C(28, 2r - 4), then what is r equal to?
- In an examination, a student has to answer 4 questions out of 5 questions; questions 1 and 2 are however compulsory. Find the...
- Out of 15 points in a plane, n points are in the same straight line. 445 triangles can be formed by joining these points. What is...
- A five-digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3 and 4 without repetition of digits. What is the...
- What is the number of odd integers between 1000 and 9999 with no digit repeated?
- Let A= 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 . Then the number of subsets of A containing two or three elements is
- Three-digit numbers are formed from the digits 1, 2 and 3 in such a way that the digits are not repeated. What is the sum of such...
- The number of different words (eight-letter words) ending and beginning with a consonant which can be made out of the letters of...
- How many different permutations can be made out of the letters of the word 'PERMUTATION'?
- A tea party is arranged for 16 people along two sides of a long table with eight chairs on each side. Four particular men wish to...
- How many numbers between 100 and 1000 can be formed with the digits 5, 6, 7, 8, 9, if the repetition of digits is not allowed?
- What is the number of triangles that can be formed by choosing the vertices from a set of 12 points in a plane, seven of which...
- There are 17 cricket players, out of which 5 players can bowl. In how many ways can a team of 11 players be selected so as to...
- The total number of 5-digit numbers that can be composed of distinct digits from 0 to 9 is
- What is the sum of all three-digit numbers that can be formed using all the digits 3, 4 and 5, when repetition of digits is...
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