MccartneyO533976 MccartneyO533976
  • 25-10-2022
  • Mathematics
contestada

In how many ways can 3person study groups beselected from a class of 25students?Note: nrn!r!(n-r)!nEnter

In how many ways can 3person study groups beselected from a class of 25studentsNote nrnrnrnEnter class=

Respuesta :

MontrelT554339 MontrelT554339
  • 25-10-2022

Answer:

2,300

Explanation:

This is given as:

[tex]\begin{gathered} 25\text{ combination 3 represented as:} \\ ^nC_r=\frac{n!}{r!(n-r)!} \\ n=25 \\ r=3 \\ ^{25}C_3=\frac{25!}{3!(25-3)!} \\ ^{25}C_3=\frac{25\times24\times23\times22!}{3!\times22!} \\ ^{25}C_3=\frac{25\times24\times23}{3\times2\times1} \\ ^{25}C_3=2300 \end{gathered}[/tex]

Therefore, there are 2,300 ways that 3 persons can be selected from 25 people

Answer Link

Otras preguntas

write the slope intercept form of the equation 11x-2y=-6
A lunar month has 28 days. About how many lunar months are in a year 365 days?
A line has the equation y=x. It is translated up by 3 units. What is the equation of the new line?
how do you think the early people discovered how to grow food?
Suppose you went bowling, but instead of a bowling ball you rolled a ping pong ball down the alley. What do you think would happen?
ex- 2y=3z  solve for x
The sum of two consecutive interegers is -131. Find the larger number.
what is a non example of a cytoplasm?
(1) Jack had been without a car since Monday. (2) The car needed a new battery, and Jack was broke. (3) Although he was embarrassed, Jack called his mother. (4
16.1 is what percent of 70