Permutations and Combinations questions
785 published questions with worked solutions.
- The total number of four digit numbers such that each of first three digits is divisible by the last digit, is equal to _____.
- Let b_ 1 b_ 2 b_ 3 b_ 4 be a 4-element permutation with b_ i 1, 2, 3, ….., 100 for 1 i 4 and b_ i b_ j for i j, such that either...
- If C(20, n+2)=C(20, n-2), then what is n equal to?
- There are 10 points in a plane. No three of these points are in a straight line. What is the total number of straight lines which...
- From 6 programmers and 4 typists, an office wants to recruit 5 people. What is the number of ways this can be done so as to...
- How many three-digit even numbers can be formed using the digits 1, 2, 3, 4 and 5 when repetition of digits is **not** allowed?
- The number of ways of giving 20 distinct oranges to 3 children such that each child gets at least one orange is __________
- If the number of words, with or without meaning, which can be made using all the letters of the word MATHEMATICS in which C and S...
- The number of arrangements of the letters of the word "INDEPENDENCE" in which all the vowels always occur together is -
- The largest natural number n such that 3^n divides 66! is ________.
- Eight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate at most...
- The number of permutations, of the digits 1, 2, 3, ….., 7 without repetition, which neither contain the string 153 nor the string...
- If the letters of the word MATHS are permuted and all possible words so formed are arranged as in a dictionary with serial...
- Let A = 1, 2, 3, 4, 5 and B = 1, 2, 3, 4, 5, 6 . Then the number of functions f : A B satisfying f(1) + f(2) = f(4) – 1 is equal...
- In an examination, 5 students have been allotted their seats as per their roll numbers. The number of ways, in which none of the...
- The number of five-digit numbers, greater than 40000 and divisible by 5, which can be formed using the digits 0, 1, 3, 5, 7 and 9...
- All words, with or without meaning, are made using all the letters of the word MONDAY. These words are written as in a dictionary...
- Total numbers of 3-digit numbers that are divisible by 6 and can be formed by using the digits 1, 2, 3, 4, 5 with repetition, is...
- The number of seven digit positive integers formed using the digits 1, 2, 3 and 4 only and sum of the digits equal to 12 is...
- The total number of three-digit numbers, divisible by 3, which can be formed using the digits 1, 3, 5, 8, if repetition of digits...
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