## Fermat''s little theorem, Mathematics

Assignment Help:
1. How many closed necklaces of length 7 can be made with 3 colors?
(notice that 7 is a prime)
2. How many closed necklaces of length 10 can be made with 3 colors
(this is di erent because 10 is not a prime: you need to think about
necklaces all of one color, necklaces with 5 repeating blocks of 2 colors,
necklaces with 2 repeating blocks of 5 colors, and necklaces with no
repeating pattern of length shorter than 10)?
3. Compute 834256743 mod 13 with the help of Fermat''s little theorem. Show
all work (I need to see how you used the theorem).
4. Determine (21). Use this information to compute 91000000000 mod 21
using Euler''s theorem.

#### Regular pyramid, define regular pyramid

define regular pyramid

#### Determine the direction cosines and direction angles, Determine or find out...

Determine or find out the direction cosines and direction angles for a = (2, 1, -4) Solution We will require the magnitude of the vector. ||a|| = √ (4+1+16) = √ (21)

#### Multiplication rule: dependent events, Multiplication Rule: Dependent Event...

Multiplication Rule: Dependent Events The joint probability of two events A and B which are dependent is equal to the probability of A multiplied by the probability of B given

#### Shares and dividends, to use newspaperto study and report on shares and div...

to use newspaperto study and report on shares and dividend

#### Earth geometry, calculate the shortest distance between A and B 40degrees w...

calculate the shortest distance between A and B 40degrees west and 50 degrees east respectively laying along 57 degrees north

#### Geometry, A closed conical vessel of radius 36 cm and height 60 cm, has som...

A closed conical vessel of radius 36 cm and height 60 cm, has some water. When vertex is down then the height of water is 12 cm. What is the height of water when vertex is up?

1x1

8...

#### Determine the probability, Determine the Probability From a pack of pl...

Determine the Probability From a pack of playing cards what is the probability of; (i)  Picking either a 'Diamond' or a 'Heart' → mutually exclusive (ii) Picking either

#### Real and distinct roots, Now we start solving constant linear, coefficient ...

Now we start solving constant linear, coefficient and second order differential and homogeneous equations. Thus, let's recap how we do this from the previous section. We start alon  