csat-suneung 2020 Q19

csat-suneung · South-Korea · csat__math-humanities 4 marks Permutations & Arrangements Word Permutations with Repeated Letters

From the numbers $1,2,3,4,5,6$, five numbers are selected with repetition allowed to satisfy the following conditions, and then all five-digit natural numbers that can be formed by arranging them in a line are counted. What is the number of such natural numbers? [4 points] (가) Each odd number is either not selected or selected exactly once. (나) Each even number is either not selected or selected exactly twice.
(1) 450
(2) 445
(3) 440
(4) 435
(5) 430

From the numbers $1,2,3,4,5,6$, five numbers are selected with repetition allowed to satisfy the following conditions, and then all five-digit natural numbers that can be formed by arranging them in a line are counted. What is the number of such natural numbers? [4 points]\\
(가) Each odd number is either not selected or selected exactly once.\\
(나) Each even number is either not selected or selected exactly twice.\\
(1) 450\\
(2) 445\\
(3) 440\\
(4) 435\\
(5) 430

Paper Questions

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