For ax +bx+c=0, x=-b± b² – 4ac2аPermutations, Combinations, andthe Binomial Theoremn!=n(n-1)(n-2)x...x2x1,where neN and 0! = 1n!„P =(п-г)!n!„C =(n-r)!r!„C, =|In the expansion of (x+y)",the general term is t1=, C;x"* y*. 20. The number of distinguishable arrangements of all the letters of the wordSUCCESS is| 42005 02805 040840

The number of ways n items can be arranged, out of which, p items are of one kind and q items are of…

Answered: The number of distinguishable…

Math

Advanced Math

The number of distinguishable arrangements of all the letters of the word SUCCESS is ) 420 5 028 5 040 O 840

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.CR: Chapter Review

Problem 70E: How many distinguishable words can be formed from the letters of the word casserole if each letter...

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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

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For ax +bx+c=0, x=
-b± b² – 4ac
2а
Permutations, Combinations, and
the Binomial Theorem
n!=n(n-1)(n-2)x...x2x1,
where neN and 0! = 1
n!
„P =
(п-г)!
n!
„C =
(n-r)!r!
„C, =|
In the expansion of (x+y)",
the general term is t1=, C;x"* y*.

20. The number of distinguishable arrangements of all the letters of the word
SUCCESS is
| 420
05 028
05 040
840

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