SOLUTION: (1) How many ways can 20 objects be arranged into groups of 5? (order does not matter) (2) A test has five true-false questions that a student does not know how to answer. What is

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Question 1048905: (1) How many ways can 20 objects be arranged into groups of 5? (order does not matter)
(2) A test has five true-false questions that a student does not know how to answer. What is the probability that student will get all five questions to correct?
(3) How many ways are there to arrange 5 people in 3 seats?

Answer by ikleyn(52799)   (Show Source): You can put this solution on YOUR website!
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(1) How many ways can 20 objects be arranged into groups of 5? (order does not matter)
(2) A test has five true-false questions that a student does not know how to answer. What is the probability that student will get all five questions to correct?
(3) How many ways are there to arrange 5 people in 3 seats?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

(1)  =  =  = 15504 ways.

   The number of combinations of 20 objects taken 5 at a time.

   See the lessons 
       - Introduction to Combinations

       - PROOF of the formula on the number of Combinations

       - Problems on Combinations
   in this site.


(2)   = .



(3)  5*4*3 = 60 ways.


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