Question

two different arrangements of objects where some of them are identical are called ____
a. circular combinations
b. circular permutations
c. distinguishable permutations
d. unique combinations​

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Answer 1

Answer:

circular permutations

Explanation:

Two different arrangements of objects where some of them are identical are called Permutation. The number of permutation of n distinct object is n factorial, usually written as n! which means the product of all positive integers less than or equal to n.

Answer 2

Circular Permutation is the correct answer.

Explanation:

Permutation can be described as the different number of ways of arranging members of the given set into a sequence ( each sequence shall be different ).

Combination means the number of possible arranging members of the given set into a sequence (but here the sequence does not matter)

Hence here Combination is of no use, Hence options a and c are struck out.

In the question it is mentioned that some of the objects are identical, hence distinguishable permutation can not be true as all arrangements are unique.

Hence Circular Combination is the Correct Option.