Principles of ArithmeticDeighton, 1885 - 220 pages |
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Page 193
... variations , namely ab , ac , ad , ae , af , ag , ah , ai , aj . There are thus 9 variations whichever of the 10 letters is put first and therefore altogether 10 times 9 or 90 variations . These may be written thus ; ab ba ac bc ad bd ...
... variations , namely ab , ac , ad , ae , af , ag , ah , ai , aj . There are thus 9 variations whichever of the 10 letters is put first and therefore altogether 10 times 9 or 90 variations . These may be written thus ; ab ba ac bc ad bd ...
Page 196
... variations in any case . But we can also deduce that result from the rule for finding the number of permutations of any number of letters . We wish to find the variations of 10 letters taken 4 together . Imagine all the permutations of ...
... variations in any case . But we can also deduce that result from the rule for finding the number of permutations of any number of letters . We wish to find the variations of 10 letters taken 4 together . Imagine all the permutations of ...
Page 197
... variations of 10 letters taken 4 together is equal to the number of permutations of 10 letters divided by the number of permutations of 6 letters . It is equal to the product of the numbers 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 divided ...
... variations of 10 letters taken 4 together is equal to the number of permutations of 10 letters divided by the number of permutations of 6 letters . It is equal to the product of the numbers 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 divided ...
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Common terms and phrases
2nd Edition 4th Edition addition arithmetical bers centimetres consecutive numbers contain Crown 8vo cube decimal fractions decimal places decimetre difference divisible by 9 divisors English equal number example F. A. Paley Fcap figures find the number finding the G.C.M. five four numbers fourth geometrical geometrical progression George Bell given number greater Greek Hence hundred hundredths Latin least common multiple length M.A. 3rd Edition means millimetres multiply Nicomachus of Gerasa notation number divisible number of combinations number of objects number of permutations number of variations number which divides numbers is equal obtain odd numbers perfect number place further places of decimals Post 8vo prime factors prime numbers prove pyramidal number quotient ratio remainder second number seven shew square inches square root subtract suppose symbols tens tenths thousand thousandths three numbers tion triangular number unaltered unit of measure vulgar fraction whole number words ΙΟ
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