Permutations and Combinations questions
785 published questions with worked solutions.
- Find the number of ways of distributing 11 pencils among 6 kids, each one receiving at least one.
- How many unordered pairs (d_1,d_2) are there such that d_1d_2=7875, d_1 1, d_2 1?
- If one quarter of all three elements subsets of the set A= a_1,a_2, ,a_n contains the element a_5, then find total number of...
- How many triangles can be formed from the line segment of lengths 2,3,4,5,6,7?
- 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 is...
- If the letters of the word MATHS are permuted and all possible words so formed are arranged as in a dictionary with serial...
- The number of triplets (x,y,z), where x,y,z are distinct non negative integers satisfying x+y+z=15, 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 number of ways, in which 5 girls and 7 boys can be seated at a round table so that no two girls sit together, is
- All words, with or without meaning, are made using all the letters of the word MONDAY. These words are written as in a dictionary...
- The letters of the word OUGHT are written in all possible ways and these words are arranged as in a dictionary, in a series. Then...
- The number of 9 digit numbers, that can be formed using all the digits of the number 123412341 so that the even digits occupy...
- A boy needs to select five courses from 12 available courses, out of which 5 courses are language courses. If he can choose at...
- A person forgets his 4-digit ATM pin code. But he remembers that in the code all the digits are different, the greatest digit 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
- 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 permutations of the digits 1,2,3, ,7 without repetition, which neither contain the string 153 nor the string 2467,...
- The number of ways of giving 20 distinct oranges to 3 children such that each child gets at least one orange is
- Let 5 digit numbers be constructed using the digits 0,2,3,4,7,9 with repetition allowed, and are arranged in ascending order with...
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