Respuesta :
The 4-digit odd numbers; you make using the digits 5,3,8,0 without repeating any digits in 96 ways.
What is permutation?
The permutation is a mathematical computation of the number of possible arrangements of a given set, in which the order of the arrangements is important.
Now, according to the question;
The numerals from that we can choose are 0, 3, 5, 8, for a total of four digits.
Because each required integer must be odd, we must have one of the numbers 3,5 just at units position. This can be accomplished in two ways.
Also, 0 must only appear in the tens or hundreds location; otherwise, the number is not a four-digit number. This can be accomplished in two ways.
Now, the thousands, hundreds, and tens digits can be produced by any of the digits 8 and one of 3 or 5, for a total of four digits ⁴P₃ ways.
Using permutation;
⁴P₃ = 4!/(4-3)!
⁴P₃ = 4×3×2
⁴P₃ = 96
Therefore, the 4-digit odd numbers, you make using the digits 5,3,8,0 without repeating any digits in 96 ways.
To know more about permutation, here
https://brainly.com/question/1216161
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