1,2,3,4,5,6,7,8,9
2,1,0,-1,-2,-3,-4,-5,-6
Answer:
70sqrt(6)
Step-by-step explanation:
7×(600)^½
7×[6^½ × 100^½]
7× 6^½ × 10
70×6^½
70sqrt(6)
sqrt: square root
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.
Powers of power multiply:
![(17^{1/7})^7 = 17^{(\frac 1 7 \cdot 7)} = 17^1 = 17](https://tex.z-dn.net/?f=%2817%5E%7B1%2F7%7D%29%5E7%20%3D%2017%5E%7B%28%5Cfrac%201%207%20%5Ccdot%207%29%7D%20%3D%2017%5E1%20%3D%2017)
Answer: 17