DemaniZ205009 DemaniZ205009

25-10-2022
Mathematics

contestada

A half-marathon has 53 runners. A first-, second-, and third-place trophy will be awarded. Howmany different ways can the trophies be awarded?

Respuesta :

PratikE609210 PratikE609210

25-10-2022

Let's use the combination formula:

[tex]\begin{gathered} C(n,k)=nCk=\frac{n!}{k!(n-k)!} \\ n=53 \\ k=3 \\ C(53,3)=53C3=\frac{53!}{3!(50)!}=23426 \end{gathered}[/tex]

Answer Link

Otras preguntas

the belief that the united states was set apart to extend its boundaries to the pacific was called?

People from Guam are descendents of which two groups? Spanish English Polynesian Indonesia

Major industries in the early 1900s were food products, textiles, iron and steel, and lumber. true false (please help me

Why can't a triangle have more than one obtuse angle

A production growth from $43 billion to $83 billion would be considered which of the following? A. Increase in gross national product B. Decrease in gross natio

please help me!! im stuck! explain the influence of the space race on the cold war

If the police arrive at Larry’s office without probable cause or a warrant and demand to search the premises, which amendment protects him from this type of sea

The diameter of this compact disc is 11.8cm. The hole in the middle has a area of 1.54cm2. What is the area of the plastic in this disc?

how do you find the volume of a L block

Why did many utopian communities form at this time? A.to bear many children B.to create political strategies C.to escape rapid modernization D.to secure afforda