Permutations and Combinations questions
785 published questions with worked solutions.
- The total number of 3-digit numbers, whose sum of digits is 10, is .................... .
- If n is the number of ways five different employees can sit into four indistinguishable offices where any office may have any...
- The number of elements in the set S = (x, y, z) : x, y, z ∈ ℤ, x + 2y + 3z = 42, x, y, z ≥ 0 equal ______.
- There are 4 men and 5 women in Group A, and 5 men and 4 women in Group B. If 4 persons are selected from each group, then the...
- There are 5 points P_1, P_2, P_3, P_4, P_5 on the side AB, excluding A and B, of a triangle ABC. Similarly there are 6 points...
- Let the set S = 2, 4, 8, 16, ....., 512 be partitioned into 3 sets A, B, C with equal number of elements such that A ∪ B ∪ C = S...
- The number of triangles whose vertices are at the vertices of a regular octagon but none of whose sides is a side of the octagon...
- Total number of 6-digit numbers in which only and all the five digits 1, 3, 5, 7 and 9 appear, is
- An urn contains 5 red marbles, 4 black marbles and 3 white marbles. Then the number of ways in which 4 marbles can be drawn so...
- The number of 4 letter words (with or without meaning) that can be formed from the eleven letters of the word 'EXAMINATION' is...
- Let n > 2 be an integer. Suppose that there are n Metro stations in a city located along a circular path. Each pair of stations...
- If all the words with or without meaning made using all the letters of the word "NAGPUR" are arranged as in a dictionary, then...
- If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed as in a...
- The number of 3-digit numbers, formed using the digits 2, 3, 4, 5 and 7, when the repetition of digits is not allowed, and which...
- The number of ways five alphabets can be chosen from the alphabets of the word MATHEMATICS, where the chosen alphabets are not...
- A test consists of 6 multiple choice questions, each having 4 alternative answers of which only one is correct. The number of...
- The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the word...
- There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 questions,...
- The number of words (with or without meaning) that can be formed from all the letters of the word "LETTER" in which vowels never...
- The greatest positive integer, which divides (n+2)(n+3)(n+4)(n+5)(n+6) for all n N, is
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