Pregunta
Mar 21, 2025 at 12.00 am
In the textbook, Section 5.5 Counting Techniques discusses permutations and combinations.
- Once certain conditions are met, the number of arrangements of
be determined before deciding to use combinations or permutations to calculate the number of arrangements of
- When using combinations or permutations, is it possible that
In the textbook, Section 5.5 Counting Techniques discusses permutations and combinations.
be determined before deciding to use combinations or permutations to calculate the number of arrangements of
Ask by Lowe Norton. in the United States
Mar 26,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
-
Determine if the order of the
objects matters. - If order matters, use permutations.
- If order does not matter, use combinations.
-
No,
cannot be greater than when repetition is not allowed because there aren’t enough distinct objects to form such an arrangement.
Solución
- The key condition is whether the order of the
objects matters.
- If order matters, the problem deals with permutations.
- If order does not matter, the problem deals with combinations.
- No, it is not possible for
when repetition is not allowed.
- Since the
objects are distinct and repetition cannot be used to “replace” an object already chosen, it is impossible to select more than objects. - If
, there aren’t enough distinct objects to form the arrangement.
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Simplifique esta solución Extra Insights
To decide whether to use combinations or permutations, the key condition to determine is whether the order of the selected objects matters. If the arrangement or sequence of the objects is significant, you’ll want to use permutations. But if the order does not matter, combinations are the way to go. Think of it like picking toppings for pizza: the order of toppings is irrelevant, hence combinations, but in a race, finishing positions matter, so that’s permutations!
Regarding the second question, if
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