Breannaaaaa
Breannaaaaa Breannaaaaa
  • 21-05-2016
  • Mathematics
contestada

How many combinations of students can she choose?

How many combinations of students can she choose class=

Respuesta :

GreenEyes71
GreenEyes71 GreenEyes71
  • 21-05-2016

Hi,

When chosen, the order of each group of 3 students does not matter, so we use combinations.

[tex]\Big{\binom{16}{3}}=\dfrac{16!}{3!\cdot(16-13)!}=\dfrac{16\cdot 15\cdot 14\cdot 13!}{1\cdot 2\cdot 3\cdot 13!}=\dfrac{16\cdot 15\cdot 14}{6}=8\cdot 5\cdot 14=560\;combinations.[/tex]

Green eyes.

Answer Link

Otras preguntas

Divide 33 photos into 2 groups so the ratio is 4 to 7
What is 3,256,423,865 rounded to the nearest million
What are the similarities between a substance and a solution?
please could somebody factorise 6h+24
A solution is prepared by dissolving sugar in water. The solution is 25.0%, by mass, sugar. How many grams of WATER are in 472 grams of this solution? a) 118 g
What did JJ Thomson think the Atom looked like?
The average of two numbers is 25 and their difference is 8. What are the numbers?
820 round to the nearest hundred
4,588 round to nearest ten?
The number of students in the four sixth-grade classes are 26, 19, 34 and 21. Use properties to find the total number of students in the four classes.26, 19, 34