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

29. A circle has a diameter of 16 inches.What is the circumference of thecircle rounded to the nearesthundredth? Use 3.14 for piA 50.24 inchesB 100.48 inchesC 2

SUNGVOYAGE ADAPTATEURMOORE: EPTABWEENTREE: 100-240V-50 80 20.30 AUT/SORTIE :501-1.55AOF ELECTRIC SHOCKE DE CHOC ÉLECTRIQUESKZ5312041OUTERSupply / LTE AlimentoLE

An 800-N billboard worker stands on a 4.0-m scaffold supported by vertical ropes at each end. scaffold weighs 500-N and the worker stands 1.0 m from one end, wh

which graph describes the relation {(1,2),(1,-2),(-1,2),(-2,0)}

The mass of a marine organism, in pounds, p years after it is born is given by the polynomial function R(p)=−4p2+300p. Find the mass when p=20 years .

which state has large percentage of tribals

Compute the distance between the two points. (–3, 4) and (21, 11)

How did Chris in the movie “The pursuit of happyness” show persistence?

Sophie purchased 8 candles at a total cost of $32. The red candles cost $3 each and the silver candles cost $7 each. The equations and graph below can be used t

Which of the following plasma proteins is responsible for attacking pathogens? A. globulins B. antibodies C. albumins D. fibrinogen