Respuesta :
The three-digit numbers can be written using digits from the set 2, 3, 4, 5, 6 without any repeating digits = 60
What is permutation and combination ?
Combination and permutation are two alternative strategies to divide up a collection of elements into subsets in mathematics. The components of the subset may be arranged in any order when combined. The subset's components are listed in a permutation in a certain order.
According to the given information:
The given set is: {2,3,4,5,6}.
We have to form different three-digit numbers using these 5 digits.
r = 3
It implies that we must choose and arrange 3 of the 5 numerals.
We employ the permutation since the arrangement here is important.
[tex]5 P_{3}=\frac{5 !}{(5-3) !}[/tex]
= 5!/2!
= 60
The three-digit numbers can be written using digits from the set 2, 3, 4, 5, 6 without any repeating digits = 60
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