Complete Secondary Algebra
Complete Secondary Algebra
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In our eReader you can find the full English version of the book. Read Complete Secondary Algebra Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Complete Secondary Algebra
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'^^U/i^dAAX^ CHAPTER XXIII.
PISRMUTATIONS AND COMBINATIONS.
DEFINITIONS.
1. The following examples will illustrate the character ol an important class of problems.
Pr. 1. Write the numbers of two figures each which can be formed from the three figures, 4, 6, 6.
We have 45, 54, 46, 64, 56, 65.
Pr. 2. What committees of two persons each cau be ap- pointed from the three persons, A, B, C?
The committees may consist of A, B; A, C; or B, C.
These problems make clear the difference between groups of ...things, selected from a given number of things, in which the order is taken into account, as in Pr. 1, and in which tJie order is not taken into account, as in Pr. 2.
2. We are thus naturally led to the following definitions: A Permutation of any number of things is a group of some or all of them, arranged in a definite order, A Combination of any number of things is a group of some or all of them, wiiTiout reference to order.
3. It follows from these definitions that two permutations are different when some or all of the things in them are different, or when their order of arrangement is different; and that two combinations are different only when at least one thing in one is not contained in the other.
What to read after Complete Secondary Algebra?
You can find similar books in the "Read Also" column, or choose other free books by Fisher, George Egbert, 1863-1920 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
'^^U/i^dAAX^ CHAPTER XXIII.
PISRMUTATIONS AND COMBINATIONS.
DEFINITIONS.
1. The following examples will illustrate the character ol an important class of problems.
Pr. 1. Write the numbers of two figures each which can be formed from the three figures, 4, 6, 6.
We have 45, 54, 46, 64, 56, 65.
Pr. 2. What committees of two persons each cau be ap- pointed from the three persons, A, B, C?
The committees may consist of A, B; A, C; or B, C.
These problems make clear the difference between groups of ...things, selected from a given number of things, in which the order is taken into account, as in Pr. 1, and in which tJie order is not taken into account, as in Pr. 2.
2. We are thus naturally led to the following definitions: A Permutation of any number of things is a group of some or all of them, arranged in a definite order, A Combination of any number of things is a group of some or all of them, wiiTiout reference to order.
3. It follows from these definitions that two permutations are different when some or all of the things in them are different, or when their order of arrangement is different; and that two combinations are different only when at least one thing in one is not contained in the other.
What to read after Complete Secondary Algebra?
You can find similar books in the "Read Also" column, or choose other free books by Fisher, George Egbert, 1863-1920 to read onlineMoreLess
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