Mathematics questions
18011 published questions with worked solutions.
- 3 prizes are to be given to 4 students. Find the number of ways of distributing these prizes so that no student gets all 3 prizes.
- Consider the word ALLAHABAD. Let p and q represent the number of words formed from the letters of the word ALLAHABAD in which...
- The total number of numbers that are formed from 0,1,2,3,4 which do not contain more than 20 digits is m^n, where m and n are one...
- Words are formed from the letters of the word BHARAT. If p and q represent the number of words having both A's together and the...
- Let the words formed by the letters of word OPTS be arranged in dictionary order. The ranks of words SPOT, POTS, STOP and POST...
- Consider the words formed from the letters of word CONSTANT. Let A be the set containing words having 2 N together and 2 T...
- 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...
- The value of ^7C_0+2 ( ^7C_1+ ^7C_2+ + ^7C_6 )+ ^7C_7 is 2^m+n where m>7. Find m+n.
- 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...