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>
EQUATION OF A CIRCLE: (x-h)² + (y-k)² =r²
= (x+1)² + (y-4)² =3
The answer is c 16. Square cm
Answer:
175 mL
Step-by-step explanation:
(a) Convert the mass of the cat to kilograms
1 kg = 2.20 lb
Mass = 8 lb × (1 kg/2.20 lb)
= 3.64 kg
(b) Calculate the hourly volume
V = 3.64 kg × (2 mL/1 kg)
= 7.27 mL
(c) Calculate the daily volume
V = 24 h × (7.27 mL/1 h)
= 175 mL
Answer:
(2x + 6)/3 = y
Step-by-step explanation:
2x + 5 = 3y - 1
2x + 5 + 1 = 3y
(2x +6)/3 = 3y