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lapo4ka [179]
3 years ago
11

An algebra class has 16 students and 16 desks. For the sake of variety, students change the seating arrangement each day. How ma

ny days must pass before the class must repeat a seating arrangement? days must pass before a seating arrangement is repeated. Suppose the desks are arranged in rows of 4. How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats? There are seating arrangements that put them in the front seats. What is the probability that Larry, Moe, Curly and Shemp are sitting in the front seats? The probability is
Mathematics
1 answer:
sineoko [7]3 years ago
6 0

Answer: a) 2092278989 b) 576, c) \dfrac{576}{2092278989}

Step-by-step explanation:

Since we have given that

Number of students = 16

Number of desks = 16

a)  How many days must pass before the class must repeat a seating arrangement?

16!=2092278989

If the number of rows = 4

b) How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats?

4!\times 4!\\\\=24\times 24\\\\=576

c) How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats?

\dfrac{576}{2092278989}

Hence, a) 2092278989 b) 576, c) \dfrac{576}{2092278989}

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Island A is 250 miles from island B. A ship captain travels 260 miles from island A and then finds out he is off course and 160
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CHECK THE COMPLETE QUESTION BELOW

Island A is 250 miles from island B. A ship captain travels 260 miles from island A and then finds that he is off course and 160 miles from island B. What bearing should he turn to, so he is heading straight towards island B?

A. 111.65

B. 119.84

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Answer:

OPTION A IS CORRECT

A. 111.65

Step-by-step explanation:

This question can be explained using a triangle, let us say triangle ABD

and let us say A and B represent the islands and D is the particular point from where the captain is standing at a distance of 160 miles from B island .

We will be making use of cosines rule to calculate our angles, and we know that from cosine rule

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Then the angle he would turn will be external angle of the triangle - 68.35°

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