A store creates a 4-digit code using digits 1–9 without repetition. Which method is needed?, permutation, combination, casework, probability, Seven students line up for a photo, but two must stand together. Which method applies?, block method, complement method, simple permutation, combination, A club chooses 3 committee members from 12 volunteers. Which method is needed?, combination, permutation, block method, complement, How many different ice-cream triples can be formed from 6 flavours when order does not matter?, combination, permutation, product rule, block method, A word has repeated letters. Which method is appropriate to count its arrangements?, permutation with repetition, simple permutation, combination, casework, A team must include at least one goalkeeper. Which method is appropriate?, casework, permutation, product rule, probability, Two musicians must not sit next to each other in a line. Which method applies?, complement (or block), simple permutation, combination, random selection, From 5 red, 4 blue and 3 green tiles, choose 2 tiles of each colour. Which method?, multiply combinations, add cases, block method, permutation, A task splits into “1 leader” and “4 other members”. Which structure is relevant?, independent selections → multiply, combination only, casework, add choices, Select 1 person from each of 3 groups. Which structure is used?, independent selections → multiply, add choices, combination, probability.

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