Mathematics, 12.10.2019 11:20 erinleyanne

There are 18 students participating in a spelling bee. how many ways can the students who go first, second, third, and fourth be chosen?

a.
73,440 ways
c.
4,896 ways
b.
1,028,160 ways
d.
13,366,080 ways

Answers: 2

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Answers

Answer from: coolsoftball2002

a. 73,440 ways

Step-by-step explanation:

To find the number of ways to choose first, second, third and fourth in a spelling bees given that 18 student participate in the spelling bee, we will simply use permutation.

Thus, the standard formula is; n $p_{r}$ = n ! / (n-r)!

From the question above, our n is equal to eighteen and our r is equal to four That is; n= 18 and r = 4

Inserting these value into the formula

n $p_{r}$ = n ! / (n-r)!

18 $P_{4}$ = 18 ! / (18 - 4) !

= 18 ! / 14 !

= 18 × 17 × 16 × 15 × 14! / 14!

The 14! on the numerator will cancel-out the 14! on the denominator, hence;

18 $P_{4}$ = 18 × 17×16×15

=73,440

Therefore we can choose the students who goes first, second, third and fourth position in 73, 440 ways.

Answer from: Quest

7,24

step-by-step explanation:

Answer from: Quest

la parábola es el lugar

geométrico en el cual los puntos tienen una distancia idéntica, equidistantes,

de un punto denominado foco, f, y una recta denominada directriz

el radio vector de una

parábola es el segmento que existe entre un punto cualquiera y el foco.

por la ecuación se observa

que la parábola abre hacia la derecha, por lo cual podemos usar las siguientes fórmulas

la ecuación ordinaria de la

parábola es y^2 = 4px, donde p es la longitud desde el vértice de la parábola al

foco.

la fórmula de la directriz

es x + p = 0

resolviendo:

y^2-9x = 0

y^2 = 9x

4p = 9, entonces p = 9/4

entonces el foco tendrá la

coordenada f(9/4,0)

la directriz vendrá

expresada por

x + p = 0

x = -p

x = -9/4

el problema indica que la

ordenada es igual a 6, entonces

(6)^2=9x

x = 36/9

x = 4

entonces el punto al cual

hay que obtener la distancia será p(4,6)

calculando se tendrá: pf =

pf = 6,25 u

ver más en -

step-by-step explanation:

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