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2 years ago

Mrs. Woods wants to give each of her 25 students a pencil on the first day

Mathematics

1 answer:

Nezavi [6.7K]2 years ago

4 0

Answer

<h2><u><em>3 boxes</em></u> </h2>

Step-by-step explanation:

So she needs to give 25 pencils to each student.

1 box = 12

number of boxes = 25/12

=2.08

round it to 3

<h2><em>Therefore she need </em><u><em>3</em></u><em> boxes</em></h2>

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Outside a home, there is a 10-key keypad with the letters A, B, C, D, E, F, G, H, I, and J that can be used to open the garage i

Assoli18 [71]

Answer:

3,628,800 (aka "10!")

Step-by-step explanation:

The first letter in the code can be 10 possible letters.

Since every letter can only be used once, the second letter can only be 9 possible letters.

E.G.: If the first letter is A, the second letter is B-J.

The third letter would be 8 possible letters, than the fourth would be 7, etc.

In math form, figuring out the possible combinations would be written out as so:

10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

An easier way to write this out would be using "10!", which stands for "10 Factorial"

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3 years ago

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Using the permutation formula, it is found that there are 17,297,280 different signals consisting of 8 flags.

In this problem, the order in which the flags are visited is important, hence the <em>permutation formula</em> is used to solve this question.

<h3>What is the permutation formula?</h3>

The number of possible permutations of x elements from a set of n elements is given by:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

The first flag is blue, then the remaining 7 are taken from a set of 14, hence:

$P_{(14,7)} = \frac{14!}{7!} = 17,297,280$

There are 17,297,280 different signals consisting of 8 flags.

More can be learned about the permutation formula at brainly.com/question/25925367

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2 years ago

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