Permutations Under Restrictions

JEE Main Mathematics · Permutations and Combinations · 17 questions, latest first

• Let A={1,2,3,4,5,6}. The number of one-one functions f: A → A such that f(1) ≥ 3, f(3) ≤ 4 and f(2)+f(3)=5, is ____.20265 April, Shift 1 · Q21
• The number of ways, of forming a queue of 4 boys and 3 girls such that all the girls are not together, is:20264 April, Shift 1 · Q8
• The number of ways, in which the letters A, B, C, D, E can be placed in the 8 boxes of the figure below so that no row remains…20252 April, Shift 2 · Q6
• The number of different 5 digit numbers greater than 50000 that can be formed using the digits 0, 1,2,3,4,5,6,7, such that the…202528 January, Shift 1 · Q7
• The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit together or no two boys sit together, is…202523 January, Shift 2 · Q23
• The number of words, which can be formed using all the letters of the word "DAUGHTER", so that all the vowels never come…202523 January, Shift 1 · Q7
• In a group of 3 girls and 4 boys, there are two boys B_1 and B_2. The number of ways, in which these girls and boys can stand in…202522 January, Shift 2 · Q7
• 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…20248 April, Shift 1 · Q23
• Let A={1,3,7,9,11} and B={2,4,5,7,8,10,12}. Then the total number of one-one maps f: A → B, such that f(1)+f(3)=14, is:20245 April, Shift 1 · Q1
• 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…202315 April, Shift 1 · Q22
• 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…202312 April, Shift 1 · Q4
• 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…20238 April, Shift 2 · Q5
• The number of arrangements of the letters of the word "INDEPENDENCE" in which all the vowels always occur together is20238 April, Shift 1 · Q6
• The number of words, with or without meaning, that can be formed using all the letters of the word ASSASSINATION so that the…20231 February, Shift 1 · Q82
• The number of numbers, strictly between 5000 and 10000 can be formed using the digits 1,3,5,7,9 without repetition, is202325 January, Shift 2 · Q66
• The number of integers, greater than 7000 that can be formed, using the digits 3,5,6,7,8 without repetition, is202324 January, Shift 2 · Q67
• The number of 9 digit numbers, that can be formed using all the digits of the number 123412341 so that the even digits occupy…202324 January, Shift 1 · Q82