Principle of Inclusion and Exclusion

JEE Main Mathematics · Permutations and Combinations · 10 questions, latest first

• The number of functions f:{1,2,3,4} →{a, b, c}, which are not onto, is:20264 April, Shift 1 · Q4
• Let M denote the set of all real matrices of order 3 × 3 and let S={-3,-2,-1,1,2}. Let S_1={A=[a_ij] ∈ M: A=A^T. and.a_ij ∈ S, ∀…202528 January, Shift 1 · Q21
• The number of 3 -digit numbers, that are divisible by 2 and 3, but not divisible by 4 and 9, is ____.202524 January, Shift 1 · Q23
• Let A={1,2,3,4} and B={1,4,9,16}. Then the number of many-one functions f: A → B such that 1 ∈ f( A) is equal to:202522 January, Shift 2 · Q1
• Let A={n ∈[100,700] ∩ N: n is neither a multiple of 3 nor a multiple of 4 }. Then the number of elements in A is20246 April, Shift 1 · Q7
• The number of permutations, of the digits 1,2,3, …, 7 without repetition, which neither contain the string 153 nor the string…202310 April, Shift 1 · Q23
• The number of 3 -digit numbers, that are divisible by either 2 or 3 but not divisible by 7, is ____.20231 February, Shift 1 · Q83
• Number of 4 -digit numbers that are less than or equal to 2800 and either divisible by 3 or by 11, is equal to ____.202331 January, Shift 1 · Q83
• The number of 3 digit numbers, that are divisible by either 3 or 4 but not divisible by 48, is202329 January, Shift 2 · Q71
• The total number of 4 -digit numbers whose greatest common divisor with 54 is 2, is ____.202329 January, Shift 2 · Q84