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aniked [119]
3 years ago
6

roblem: Report Error A partition of a positive integer $n$ is any way of writing $n$ as a sum of one or more positive integers,

in which we don't care about the order of the numbers in the sum. For example, the number 4 can be written as a sum of one or more positive integers (where we don't care about the order of the numbers in the sum) in exactly five ways: \[4,\; 3 + 1,\; 2 + 2,\; 2 + 1 + 1,\; 1 + 1 + 1 + 1.\] So 4 has five partitions. What is the number of partitions of the number 7?
Mathematics
1 answer:
wel3 years ago
8 0

Answer:

There are 15 partitions of 7.

Step-by-step explanation:

We are given that a partition of a positive integer $n$ is any way of writing $n$ as a sum of one or more positive integers, in which we don't care about the numbers in the sum .

We have to find the partition of 7

We are given an example

Partition of 4

4=4

4=3+1

4=2+2

4=1+2+1

4=1+1+1+1

There are five partition of 4

In similar way  we are finding  partition of 7

7=7

7=6+1

7=5+2

7=5+1+1

7=3+3+1

7=3+4

7=4+2+1

7=3+2+2

7=4+1+1+1

7=3+1+1+1+1

7=2+2+2+1

7=3+2+1+1

7=2+2+1+1+1

7=2+1+1+1+1+1

7=1+1+1+1+1+1+1

Hence, there are 15 partitions of 7.

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Answer:

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Step-by-step explanation:

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1 year ago
The difference of three times a number and six is nine
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3 years ago
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Mkey [24]

Answer:

Quotient is 3x-5 and remainder is 0.

Step-by-step explanation:

Given:

Dividend = 3x^2+7x-20

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The long division is shown in the attachment.

Step 1: we need to divide 3x^2+7x-20 with x+4 we first multiply x+4 with 3x we get the remainder as -5x-20

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