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4 years ago

There are 4 prime numbers

Mathematics

1 answer:

amid [387]4 years ago

4 0

Answer:

Step-by-step explanation:

As you go to larger numbers, there are more possibilities of factors for them.

For example, the internal from 20 to 30 contains only two prime numbers (23 and 29) and the interval from 90 to 100 contains only one prime (97).

However, the number of prime numbers in an interval varies. There are four prime numbers between 100 and 110 (101, 103, 107, 109).

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Step-by-step explanation:

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3 years ago

An English teacher needs to pick 1111 books to put on his reading list for the next school year. He has narrowed down his choice

forsale [732]

Answer:

There are 3,659,040 ways he can choose the books to put on the list.

Step-by-step explanation:

There are

12 novels

8 plays

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He wants to include

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The order in which the novels, plays and nonfictions are chosen is not important. So we use the combinations formula to solve this problem.

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

How many ways can he choose the books to put on the list?

Novels:

5 from a set of 12. So

$C_{12,5} = \frac{12!}{5!7!} = 792$

Plays:

4 from a set of 8. So

$C_{8,4} = \frac{8!}{4!4!} = 70$

Nonfiction:

2 from a set of 12

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Total:

Multiplication of novels, plays and nonfiction.

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3 years ago

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Answer:

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Step-by-step explanation:

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4 years ago