Respuesta :
Answer: The answer is 15 * 14
Step-by-step explanation:
You start with 15 people to choose from to select a president, so you have 15. After removing one person 15-1,=14 you have fourteen people to choose from, to select a vice president. This gives you 15*14.
The expression that can be used to represent the number of ways that a president and a vice-president can be chosen out of a group of 15 people is 15×14 or ¹⁵P₂.
What is Permutation?
Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.
[tex]^nP_r = \dfrac{n!}{(n-r)!}[/tex]
where,
n is the number of choices available,
r is the choices to be made.
The number of people that are available for the post of the president is 15, while the number of people that are available for the post of vice-president after the president is selected is 14. Therefore,
Number of ways in which president and vice-president can be selected
= ¹⁵P₂
= 15 × 14
Hence, the expression that can be used to represent the number of ways that a president and a vice-president can be chosen out of a group of 15 people is 15×14 or ¹⁵P₂.
Learn more about Permutation:
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