IzzacI322330 IzzacI322330
  • 25-10-2022
  • Mathematics
contestada

4) Johnny Awesome has 16 books. He wants to take 4 on vacation. How many different combinations of books canJohnny make?

Respuesta :

KamaleiR397583 KamaleiR397583
  • 25-10-2022

Explanation

Since Johnny has 16 books and wants to select 4 for his vacation, we will have;

[tex]16C4=\frac{16!}{(16-4)!4!}=\frac{16!}{12!4!}=\frac{16\times15\times14\times13\times12!}{12!\times4\times3\times2\times1}=2\times5\times14\times13=1820[/tex]

Answer: 1820 combinations

Answer Link

Otras preguntas

Find the zeros of the function f(x) = (x + 2)(x - 3)(x + 12)
Nathalie is willing to apply for a car loan. She is 18 years old, still lives at home with her parents and has a part-time job during nights while attending col
how was salidin a bad person?
Ralph’s classroom measures 12 meters in length. What is the length of the classroom in millimeters? A. 11,000 mm B. 12,000 mm C. 12,500 mm D. 13,000 mm
Need help on number 3 please!!
Solve for x. 1) 15x - 5 13x + 9 A) 6 C) 9 B) 3 D) 7
What does Seltzer Water have in common with Limestone ?
What is the LCM of 5xy and 10y² ? ​
The discount rate refers to which tool of monetary policy?
Given the points J(-4,0) and K(0, 4), find the coordinates of the point P on directed line segment JK that partitions segment JK in the ratio 3:1