Answer:
4989600 ways
Step-by-step explanation:
From the question,
The word MATHEMATICS can be arranged in n!/(r₁!r₂!r₃!)
⇒ n!/(r₁!r₂!r₃!) ways
Where n = total number of letters, r₁ = number of times M appears r₂ = number of times A appears, r₃ = number of times T appears.
Given: n = 11, r₁ = 2, r₂ = 2, r₃ = 2
Substitute these value into the expression above
11!/(2!2!2!) = (39916800/8) ways
4989600 ways
Hence the number of ways MATHEMATICS can be arranged without duplicate is 4989600 ways
Length.
96÷8=12inches
Perimeter.
(12+8)+(12+8)
20+20=40inches
Answer:
X = 13
X = 70
Step-by-step explanation:
1. Since it is a right angle set the equation up as X +2 + 75 = 90.
X =13
2. Set up x - 20 + 40 = 90 since right triangles are 90 degrees
x = 70
Answer:
12x^18
Step-by-step explanation:
