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Chapter 1: Q. 1.14 (page 20)

Determine the number of vectors (x1,...,xn)such that each xiis a positive integer and

role="math" localid="1649161391681" 鈭�i=1nxi鈮�k

wherek鈮�n.

Short Answer

Expert verified

The no. of vectors are鈭�j=nkj-1n-1.

Step by step solution

01

Step 1. Given information.

It is given that 鈭�i=1nxi鈮�k

andk鈮�n.

02

Step 2. Find the no. of vectors.

There are j-1n-1positive vectors whose sum is j.

So, the possible no. of vectors are鈭�j=nkj-1n-1.

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