Numbers are to be formed between 1000 and 3000, which are divisible by 4, using the digits 1, 2, 3, 4, 5 and 6 without repetition of digits. Then the total number of such numbers is ______.
← JEE Main 2022 · 26 Jul · Shift 2
MathematicsInteger+4 / -1Question 23 of 90
JEE Main 2022 · 26 Jul · Shift 2, Mathematics question 23
Answer and worked solution
Official answer: 30
Last two digits divisible by 4 from the digits 1 to 6: 12, 16, 24, 32, 36, 52, 56, 64.
First digit 1: pairs without 1 are 24, 32, 36, 52, 56, 64; 3 choices for the middle digit: 18.
First digit 2: pairs without 2 are 16, 36, 56, 64: 12.
Answer: 30
Topics:Permutations