csat-suneung 2024 Q25

csat-suneung · South-Korea · csat__math 3 marks Permutations & Arrangements Probability via Permutation Counting

There are 6 cards with the numbers $1, 2, 3, 4, 5, 6$ written on them, one number per card. When all 6 cards are arranged in a row in random order using each card exactly once, find the probability that the sum of the two numbers on the cards at both ends is at most 10. [3 points]
(1) $\frac{8}{15}$
(2) $\frac{19}{30}$
(3) $\frac{11}{15}$
(4) $\frac{5}{6}$
(5) $\frac{14}{15}$

There are 6 cards with the numbers $1, 2, 3, 4, 5, 6$ written on them, one number per card. When all 6 cards are arranged in a row in random order using each card exactly once, find the probability that the sum of the two numbers on the cards at both ends is at most 10. [3 points]\\
(1) $\frac{8}{15}$\\
(2) $\frac{19}{30}$\\
(3) $\frac{11}{15}$\\
(4) $\frac{5}{6}$\\
(5) $\frac{14}{15}$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q23_calculus Q23_geometry Q24 Q24_calculus Q24_geometry Q25 Q25_calculus Q25_geometry Q26 Q26_calculus Q26_geometry Q27 Q27_calculus Q27_geometry Q28 Q28_calculus Q28_geometry Q29 Q29_geometry Q30 Q30_geometry