MATHEMATICS

JAMB 2000 - Question 43

Mathematics 2000 JAMB Past Questions - Question 43: in how many ways can the word MATHEMATICS be arranged ?

in how many ways can the word MATHEMATICS be arranged ?
A:
B:
C:
D:
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Correct Answer

C

Explanation

mathematics can be arranged in11! / 2!2!2! waysN.B letters /2! a,m,t were repeated twice (two times) i.e. for each other.The word "MATHEMATICS" has a total of 11 letters. To find the number of ways it can be arranged, we need to calculate the factorial of 11.Factorial is denoted by the symbol "!". It represents the product of all positive integers less than or equal to a given number.11! = 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1Calculating this, we find:11! = 39,916,800Therefore, the word "MATHEMATICS" can be arranged in 39,916,800 different ways.

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