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A) Its reliance on viral vectors for all applications - Network4

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 Substitute back into the probability expression:

📌 How many 6-digit positive integers consist only of the digits 3 and 4, and contain exactly four 3s?

📌 A 6-digit number where each digit is either 3 or 4 and contains exactly four 3s means that there are exactly four 3s and two 4s. We need to count how many such distinct numbers can be formed.

📌 The problem reduces to choosing 4 positions out of 6 for the digit 3. The number of ways to choose 4 positions from 6 is given by the binomial coefficient:

📌 A jar contains 5 yellow marbles, 7 purple marbles, and 3 orange marbles. If three marbles are drawn at random without replacement, what is the probability that exactly two are purple?

📌 We are drawing 3 marbles from a total of:

📌 We want exactly 2 purple marbles and 1 non-purple marble (either yellow or orange).

📌 First, compute the total number of ways to choose 3 marbles from 15:

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