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bits of green in blue crossword - AdVision eCommerce

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 Solution: The total number of samples is $3 + 5 + 2 = 10$. Since samples within each category are indistinguishable, the number of distinct sequences is:

📌 Question: An epidemiologist models an outbreak with 4 infected individuals, 5 susceptible individuals, and 3 recovered individuals. If they track daily status changes, how many distinct sequences of status transitions are possible?

📌 Solution: The total number of individuals is $4 + 5 + 3 = 12$. Since individuals within each status category are indistinguishable, the number of distinct sequences is:

📌 Question: If a fair 10-sided die is rolled three times, what is the probability of rolling a 1, a 2, and a 3 in any order?

📌 Question: Three distinct prime numbers less than 50 are selected. What is the probability that all three are congruent to 1 modulo 4?

📌 Question: A space exploration team has 6 distinct modules, including one life-support module. How many linear arrangements are there if the life-support module must be adjacent to the communication module?

📌 Question: An anthropologist studies 9 distinct cultural artifacts displayed in a circle. How many ways can they be arranged if two specific artifacts must be separated by exactly two positions?

📌 Question: The ratio of red to blue marbles in a jar is $7:4$. If there are 21 red marbles, how many blue marbles are there?

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