 | Herbert Edwin Hawkes - Algebra - 1905 - 312 pages
...factors is equal to the number of digits taken at a time, ie two. This leads to the general THEOREM. The number of permutations of n objects taken r at a time is , iч / , i\ /T\ n(n — l)..-(n — r + 1). (I) This is symbolized by /i„ r. This formula is easily... | |
 | Frank Loxley Griffin - Calculus - 1922 - 548 pages
...13 objects taken 6 at a time? An order, or arrangement in sequence, is also called a " permutation." The number of permutations of n objects taken r at a time is denoted by Pn. r. Thus the result in the example above may be written PI, 2 = 7 X 6 X 5. (3 factors, from 7 down.)... | |
 | Ovid Wallace Eshbach, Byron D. Tapley - Technology & Engineering - 1990 - 2104 pages
...permutation of n objects taken r at a time is an arrangement of any r objects selected from the n objects. The number of permutations of n objects taken r at a time is n\ ,,Pr = n(n - l)(n- 2) • - • (n - r + 1) In particular, nPt = n, nPn = n'.. Cyclic permutations... | |
 | Louise Ferrante - Technology & Engineering - 1990 - 580 pages
...(n - r + 1) (11) where it should be noted that the product has r factors. The notation J>r refers to the number of permutations of n objects taken r at a time. For the special case where r = n, equation (11) becomes nPn = n(n - !)(« - 2) • • • 1 - JW (12)... | |
 | Alexander R. Brinkman - Computers - 1990 - 1000 pages
...ps(x, x + r - 1) div ps(2, r) end; ( t*********************** p(n,r) **«*»«*«****************| (* The number of permutations of n objects taken r at a time. *] ( ********************************* **************************************** j function p(n, r :... | |
 | Ernest Woodward - Mathematics - 2013 - 116 pages
...a set of n objects is an ordered arrangement of those r objects. The symbol Pr is used to represent the number of permutations of n objects taken r at a time, and when n>r. A combination of r objects from a set of n objects is an unordered selection of r objects... | |
 | Richard C. Dorf, Ronald J. Tallarida - Technology & Engineering - 1993 - 228 pages
...Permutations A permutation is an ordered arrangement (sequence) of all or part of a set of objects. The number of permutations of n objects taken r at a time is n1 (nr)\ A permutation of positive integers is "even" or "odd" if the total number of inversions is... | |
 | Harry Frank, Steven C. Althoen - Mathematics - 1994 - 264 pages
...PROBABILITY DISTRIBUTIONS MENU and choose P. P = PERM, (a/b) From equation [5.8] in Chapter 5 of Statistics, the number of permutations of N objects taken r at a time is p _ N\ Nrr (N - r)\ In ASP, a is the number of objects in the collection (W) and b is the number of... | |
 | Robert M. Bethea - Mathematics - 1995 - 686 pages
...of permutations possible for each two-letter combination. From this example one should realize that the number of permutations of n objects taken r at a time is equal to the number of combinations of these n objects taken r at a time multiplied by the number of... | |
 | Paul A. Tobias, David Trindade - Business & Economics - 1995 - 434 pages
...number of permutations is 8 x 7 x 6 x 5 = 1 ,680. We won't list these, but the general formula for the number of permutations of n objects taken r at a time is Note there are r separate terms in the product above. Suppose we have eight objects and we want to... | |
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The number of permutations of n objects taken r at a time is denoted by P(n,r), „Pr,Pn.r, P"r, or (n), We shall use P(n,r). 
