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:
5
Step-by-step explanation:
Vanilla ice cream = 3/5 x 25 = 15
Remaining = 25 - 15 = 10
Mint ice cream = 1/2 x 10 = 5
Remainder = 10 - 5 = 5 = vanilla
Answer:
6²= 6×6= 36
√81= 9
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