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
Answer:
-3 < -2 < -1 < 4 < 5 < 6 < 23
Step-by-step explanation:
Im really sorry if im wrong
Answer:
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula.
The distance formula is:
Let (2,8) be x₁ and y₁ and let (7,7) be x₂ and y₂. Thus:
Simplify:
Square:
Add:
And that's our answer :)
You can line up 8 cards 64 different ways.
8 * 8 = 64