Questions: Determine whether the statement below is true or false. If it is false, rewrite it as a true statement.
A combination is an ordered arrangement of objects.
Choose the correct answer below.
A. The statement is true.
B. The statement is false. A true statement would be "A combination is a distinguishable arrangement of objects."
C. The statement is false. A true statement would be "A permutation is an ordered arrangement of objects."
D. The statement is false. A true statement would be "A combination is an ordered arrangement of permutations."
Transcript text: Determine whether the statement below is true or false. If it is false, rewrite it as a true statement.
A combination is an ordered arrangement of objects.
Choose the correct answer below.
A. The statement is true.
B. The statement is false. A true statement would be "A combination is a distinguishable arrangement of objects."
C. The statement is false. A true statement would be "A permutation is an ordered arrangement of objects."
D. The statement is false. A true statement would be "A combination is an ordered arrangement of permutations."
Solution
Solution Steps
Step 1: Understanding the Definitions
^Combination^: A combination is a selection of items without regard to the order in which they are arranged.
^Permutation^: A permutation is an arrangement of items where the order does matter.
Step 2: Evaluating the Given Statement
The given statement is ^false^.
Correct Statement:
A combination is a selection of items without regard to the order in which they are arranged.
Final Answer:
The statement was incorrect. The correct statement is provided based on the universally accepted definitions of combinations and permutations.