Answer:
5040
Step-by-step explanation:
This is a problem of permutation where one has to arrange all the letters of the word taken all at a time. Since in N lettered word if all the letters are different then it can be arranged in N! ways i.e factorial N ways.
In the problem mentioned given
Word : Musical
number of words = 7 (all the words are different)
Number of ways to arrange it = 7!
7*6*5*4*3*2*1 = 5040
Hence 5040 is the answer!
Answer:
Step-by-step explanation:
Area of semi-circle is
≈
× 4² ÷ 2 ≈ 25 cm²
Area of square is 8² = 64 cm²
Total area is 25 + 64 = 89 cm²
Answer:
2 oldies and 6 new releases
Step-by-step explanation:
let x equal number of oldies
let y equal number of new releases
2x + 4y = 28
x + y = 8
x = 8 - y
2(8 - y) + 4y = 28
16 - 2y + 4y = 28
2y = 28 - 16
2y = 12
y = 12/2
y = 6
x = 8 - y
x = 8 - 6
x = 2
Y=x²-6x+14
y=(x²-2*3x +3²-3²)+14
y=(x²-2*3x+3²)+14-9
y=(x-3)²+5
a=1
p=3
q=5
a>0 ⇒ vertex is minimum
V(p,q) ⇒ V(3;5)
Regards M.Y.