Counting numbers with distinct digits under conditions

CAT has tested this idea 5 times across 5 papers, from 2020 to 2024. Solve one, and the others are the same method with different numbers or wording, which is why repeated concepts are the most efficient thing to practise.

QuestionWhat it asksAnswer
CAT 2024 Slot 3 · QA Q14 near-repeatnumbers up to 500 with non-repeating digits378
CAT 2023 Slot 1 · QA Q21 near-repeatnumbers up to 1000 with non-repeating digitsD
CAT 2020 Slot 3 · QA Q16three-digit numbers with at least one repeated digit252
CAT 2022 Slot 2 · QA Q12integers above 2000 from digits 0 to 5A
CAT 2020 Slot 2 · QA Q26four-digit distinct digits with 7 before 3315

Part of Permutations & Probability (21 questions since 2017).