Answer:
The number of distinct arrangements is <em>12600</em><em>.</em>
Step-by-step explanation:
This is a permutation type of question and therefore the number of distinguishable permutations is:
n!/(n₁! n₂! n₃! ... nₓ!)
where
- n₁, n₂, n₃ ... is the number of arrangements for each object
- n is the number of objects
- nₓ is the number of arrangements for the last object
In this case
- n₁ is the identical copies of Hamlet
- n₂ is the identical copies of Macbeth
- n₃ is the identical copies of Romeo and Juliet
- nₓ = n₄ is the one copy of Midsummer's Night Dream
Therefore,
<em>Number of distinct arrangements = 10!/(4! × 3! × 2! × 1!)</em>
<em> = </em><em>12600 ways</em>
<em />
Thus, the number of distinct arrangements is <em>12600</em><em>.</em>
Answer:
3.6
Step-by-step explanation:
Answer:
<h2>
B. ST = 2</h2><h2 />
Step-by-step explanation:
|<-------------- 10 --------------------->|
S-------------------T--------------------U
X-6 2X - 8
FIND: ST
SOLUTION:
ST + TU = SU
x - 6 + 2x - 8 = 10
combine like terms:
3x - x = 10 + 8 + 6
x = 24/3
x = 8
plugin the value of x= 8 into the ST = x - 6
ST = x - 6
ST = 8 - 6
ST = 2
proof:
x - 6 + 2x - 8 = 10
8 - 6 + 2(8) - 8 = 10
10 = 10 ---OK
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