CAT Permutation and Combination previous year questions

11 Permutation and Combination questions from CAT 2021–2025 (Quant), each with its answer and a step-by-step solution.

• Q2A cafeteria offers 5 types of sandwiches. Moreover, for each type of sandwich, a customer can choose one of 4 breads…CAT 2025 Slot 1 · Quant · Permutation and Combination
• Q7Consider two sets A=\2,3,5,7,11,13\ and B=\1,8,27\ . Let f be a function from A to B such that for every element b in…CAT 2024 Slot 1 · Quant · Permutation and Combination
• Q11P, Q, R and S are four towns. One can travel between P and Q along 3 direct paths, between Q and S along 4 direct…CAT 2024 Slot 2 · Quant · Permutation and Combination
• Q14The number of all positive integers up to 500 with non-repeating digits isCAT 2024 Slot 3 · Quant · Permutation and Combination
• Q21The number of all natural numbers up to 1000 with non-repeating digits isCAT 2023 Slot 1 · Quant · Permutation and Combination
• Q2The number of ways of distributing 20 identical balloons among 4 children such that each child gets some balloons but…CAT 2022 Slot 1 · Quant · Permutation and Combination
• Q12The number of integers greater than 2000 that can be formed with the digits 0, 1, 2, 3, 4, 5, using each digit at most…CAT 2022 Slot 2 · Quant · Permutation and Combination
• Q8The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in 1421, including…CAT 2022 Slot 3 · Quant · Permutation and Combination
• Q12The number of groups of three or more distinct numbers that can be chosen from 1, 2, 3, 4, 5, 6, 7 and 8 so that the…CAT 2021 Slot 1 · Quant · Permutation and Combination
• Q1The number of ways of distributing 15 identical balloons, 6 identical pencils and 3 identical erasers among 3…CAT 2021 Slot 2 · Quant · Permutation and Combination
• Q4A four-digit number is formed by using only the digits 1, 2 and 3 such that both 2 and 3 appear at least once. The…CAT 2021 Slot 3 · Quant · Permutation and Combination