To solve this problem, you must use the Combination Formula:
Cr(n,r)=n! /r!(n-r)!
n: The number of things it can be chosen (n=6).
r: The number of things you choose (r=3).
!: The symbol of The Factorial Function, which means that descending numbers are multiplied.
In Combinations the order of the objects does not matter, so we have:
Cr(n,r)=n!/r!(n-r)!
C(6,3)=6!/3!(6-3)!
C(6,3)=6!/3!
C(6,3)= 6x5x4x3!/3x2x1x3!
C(6,3)=6x5x4/3x2x1
C(6,3)=120/6
C(6,3)=20
In how many ways can a student select any 3 books?
The answer is: In 20 different ways.
I’m pretty sure there are infinite solutions as the system of equations are equivalent to each other.
Answer:
45/30 = 1.5 minutes per mile
75 * 1.5 = 112.5 minutes (1 hour 52.5 minutes)
Step-by-step explanation:
Answer:
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Given:
- Function f(x) = 2|x + 3| - 2
Find a function g which is a horizontal shrink by a factor of 1/3 of f(x).
Horizontal shrink by a factor of k is:
Apply this to the given function:
- g(x) = f(x : 1/3) = f(3x) = 2|3x + 3| - 2 = 6|x + 1| - 2