In how many ways can the word MATHEMATICIAN be ... - JAMB Mathematics 2024 Question

Here's how to solve this permutation problem:

1. Count the letters: The word MATHEMATICIAN has 13 letters.

2. Identify repetitions:

   • M appears 2 times.
   • A appears 3 times.
   • T appears 2 times.
   • I appears 2 times.
   • C, E, and N appear once each.
   • H appears once

3. Apply the formula for permutations with repetitions: The number of ways to arrange n objects where some are identical is given by: n! / (n1! * n2! * ... * nk!) where n1, n2, ... nk are the counts of each