determine whether the statement below is true or false. If it is false, rewrite

Question

determine whether the statement below is true or false. If it is false, rewrite it as a true statement. The number of different ordered arrangements of n distinct objects is n! Choose the correct answer below. determine whether the statement below is true or false. If it is false, rewrite it as a true statement. The number of different ordered arrangements of n distinct objects is n! Choose the correct answer below. determine whether the statement below is true or false. If it is false, rewrite it as a true statement. The number of different ordered arrangements of n distinct objects is n! Choose the correct answer below.

Explanation / Answer

The given statement is correct.

EXPLANATION:
Ordered arrangement is called permutation.

Let n = 3.

Consider arranging 3 letters: A,B,C. The number of ways this can be done is:

ABC

ACB

BAC

BCA

CAB

CBA

Thus, there are 6 distinct arrangements.

i.e., 3! = 3X2X1 = 6 arrangements.

In general, number of permutations of n objects is:

n!.

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