Answer:
<h2>76904685 ways</h2>
Step-by-step explanation:
Given data
the number of students n=40
the number of groups r= 8
We are going to use the combination approach to solve the problem
nCr= n!/r!(n-r)!
substituting into the expression for the number of ways we have
40C8= 40!/8!(40-8)!
nCr= 40!/8!(32)!
nCr= 40!/8!(32)!
nCr= 40*39*38*37*36*35*34*33*32!/8!(32)!
nCr= 40*39*38*37*36*35*34*33*/8!
nCr= 40*39*38*37*36*35*34*33*/8*7*6*5*4*3*2
nCr= 3100796899200/40320
nCr=76904685 ways
Answer:
Step-by-step explanation:
Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w
No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12
Now our problem says that the two area will be equal to each other, which sets up the following equation:
w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20
The only other possible meaning I can see is that a2 + b2 means a^2 + b^2. In the case that is a formula that cannot be simplified further, although it could be written as (a + b)^2 - 2ab or (a - b)^2 + 2ab. ... Originally Answered: What is the formula of a2+b2?
