Mathematics 2017 JAMB Past Questions - Question 12: In how many can the world MACICITA be arranged?

Correct Answer

C

Explanation

8! / 2!2! c = 2!, I = 2!A = 2!The word "MACICITA" has 8 letters. To find the number of arrangements, we can use the formula for permutations of a word with repeated letters. Since the word "MACICITA" has repeated letters (C appears 3 times, and A appears 2 times), the number of arrangements is given by:8! / (3! * 2!)Where "8!" represents 8 factorial (8 × 7 × 6 × 5 × 4 × 3 × 2 × 1), and "3!" and "2!" represent the factorials of the number of times the repeated letters appear.Calculating this, we get:8! / (3! * 2!) = 8 × 7 × 6 × 5 × 4 / (3 × 2) = 3360So, the word "MACICITA" can be arranged in 3360 different ways.