Answer:
(a) 720 ways
(b) 120 ways
(c) 24 ways
Step-by-step explanation:
Given

--- number of letters
Solving (a): Number of arrangements.
We have:

So, the number of arrangements is calculated as:

This gives:

This gives:


Solving (b): DA as a unit
DA as a unit implies that, we have:
[DA] N C E R
So, we have:

So, the number of arrangements is calculated as:

This gives:

This gives:


Solving (c): NCE as a unit
NCE as a unit implies that, we have:
D A [NCE] R
So, we have:

So, the number of arrangements is calculated as:

This gives:

This gives:


Okay what about the game room floor?
Answer:
2.44 pints of white
Step-by-step explanation:
blue=3/5
white=2/5
6.1*0.4=2.44
Answer:
62.73° or 1.09 radians
Step-by-step explanation:
SOH CAH TOA
sin =
, so sin (?) = 
this means that ? =
or ? = arcsin(
), depending on what calculator you have
plugging in
or arcsin(
) into calculator will get you
62.73° or 1.09 radians
use the corresponding answer depending on if the question asks for degrees or radians