Question on: JAMB Mathematics - 2024
In how many ways can the word MATHEMATICIAN be arranged?
A
6794800 ways
B
2664910 ways
C
6227020800 ways
D
129729600 ways
Ask EduPadi AI for a detailed answer
Correct Option: D
The number of arrangements of MATHEMATICIAN can be found using permutations with repeated letters.
The word has 13 letters.
- M appears 2 times
- A appears 3 times
- T appears 2 times
- I appears 2 times
- C, E, N each appear once
The formula is:
\[ \frac{13!}{2! \times 3! \times 2! \times 2!} \]
Evaluating gives:
\[ \frac{6227020800}{48} = 129729600 \]
So the number of arrangements is 129,729,600.
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