The Elements of AlgebraAdam and Charles Black, 1861 |
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Σελίδα 295
... number of such groups , which in this case is three , is the number of combinations . These combinations may themselves be varied by the order of arrangement . Groups , in which a b and b a are considered different , are termed permutations ...
... number of such groups , which in this case is three , is the number of combinations . These combinations may themselves be varied by the order of arrangement . Groups , in which a b and b a are considered different , are termed permutations ...
Σελίδα 296
... permutations in which d can stand first . In like manner , by writing down the permutations , two and two , of the ... number of permutations or combinations , rather than to exhibit the arrangements themselves . 187. PROP . 1. To find ...
... permutations in which d can stand first . In like manner , by writing down the permutations , two and two , of the ... number of permutations or combinations , rather than to exhibit the arrangements themselves . 187. PROP . 1. To find ...
Σελίδα 297
... number of permutations , three and three , is ( n − 1 ) ( n − 2 ) repeated n times , or n ( n − i ) ( n − 2 ) . - - - To find the number of permutations and r together , where r is any number not greater than n . - 1 Let us assume ...
... number of permutations , three and three , is ( n − 1 ) ( n − 2 ) repeated n times , or n ( n − i ) ( n − 2 ) . - - - To find the number of permutations and r together , where r is any number not greater than n . - 1 Let us assume ...
Σελίδα 298
Philip KELLAND. Ex . 1. Find the number of permutations of twelve things , five together . The formula given 12.11.10.9.8 , the number of multipliers being five .. 95040 is the number required . 2. How many different peals can be rung on ...
Philip KELLAND. Ex . 1. Find the number of permutations of twelve things , five together . The formula given 12.11.10.9.8 , the number of multipliers being five .. 95040 is the number required . 2. How many different peals can be rung on ...
Σελίδα 299
... number of permutations required is n ( n - 1 ) ... 1 1. 2 ... p 2. In the same manner , if the q b's become different from each other , the actual number of permutations is increased 1.2 q - fold , by which increase it becomes ? ( n ...
... number of permutations required is n ( n - 1 ) ... 1 1. 2 ... p 2. In the same manner , if the q b's become different from each other , the actual number of permutations is increased 1.2 q - fold , by which increase it becomes ? ( n ...
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A's money a²x² algebraic arithmetic series arithmetical progression ax² base bushel chance coefficient common difference complete pile contain continued fraction convergent cube decimal denominator digits divided divisible divisor equal example expression factor Find the number Find the sum Find the value fraction geometric series geometrical progression given equation greater greatest common measure harmonic means hence infinity latter least common multiple less logarithm miles Multiply negative number of combinations number of permutations number of shot number of terms number required obtain person prime PROP proposition quadratic QUADRATIC EQUATIONS quadratic surd quotient reduced remainder represent Required the number result scale shew side solution solved square root subtraction suppose surd third tion unknown quantity white ball whole number x³y yards دو وو