Answer:
Therefore, the decomposition of will be:
Step-by-step explanation:
Considering the fraction
As we know that a fraction can be expressed as the product of a whole number and a unit fraction.
Expressing decomposition in terms of the sum of lesser fractions keeping 5 as the denominator.
Therefore, the decomposition of will be:
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.
It shouldn't be too tough to find one of those, seeing that there are
an infinite number of them.
To create one, take any integer, positive or negative, and multiply it by itself.
Here are a few to put you in the mood:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, ...
784, 841, 900, 1024, 1225, 1600, 2500, 3600, 4900, 10000, 1 million, ...
If you gave away 280 of 600 business cards and you would like to know what percent of the cards is left, you can calculate this using the following steps:
600 - 280 = 320 cards are left
320 / 600 = 8 / 15 = 0.5333 = 53.33%
The correct result is D. 53.33%.