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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?
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(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.