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why does the moon have phases - Anadea

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 To find the probability that the sum of the numbers rolled on two 12-sided dice is 15, we first determine the total number of possible outcomes and then count the favorable outcomes.

📌 The probability is the number of favorable outcomes divided by the total number of outcomes:

📌 To calculate the number of passwords with the letter A included, we use combinatorial selection:

📌 A gardener has 3 types of flowers: 4 roses, 3 daisies, and 2 tulips. If the gardener wants to plant them in a row such that all flowers of the same type are indistinguishable, how many different arrangements are possible?

📌 To find the number of distinct arrangements of the flowers, we use the formula for permutations of multiset:

📌 A remote research station in the Arctic has 6 distinct experiments to be conducted over 3 days, with 2 experiments each day. How many ways can the experiments be scheduled if the order of experiments within a day does not matter?

📌 This problem involves partitioning 6 distinct experiments into 3 groups of 2, where the order of groups (days) does not matter:

📌 The number of ways to choose 2 experiments out of 6 is:

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