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which side is the appendix on - inBeat

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 There are 3 such cases (one for each variable), so total invalid cases:

📌 This has no non-negative solutions. So no such cases.

📌 Total possible outcomes when rolling a 12-sided die 3 times:

📌 Question: A professor is selecting 4 students at random from a group of 12 (7 math majors and 5 physics majors) to form a committee. What is the probability that the committee includes at least one math major and at least one physics major?

📌 Solution: Total number of ways to choose 4 students from 12:

📌 We subtract the number of committees with only math majors or only physics majors from the total.

📌 All physics majors: choose 4 from 5:

📌 So, number of invalid committees (all math or all physics):

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