Mathematics 2017 JAMB Past Questions - Question 24: find the numer of ways that the letters of word EXCCELLENCE be arranged.

Correct Answer

C

Explanation

EXCELLENCEE = 4!, C = 2!, L = 2!10! / 4!2!2!The word "EXCELLENCE" has 10 letters, with the following frequencies: E-3, C-2, L-2, and the rest are unique.The number of ways to arrange the letters of the word "EXCELLENCE" is given by 10! / (3! * 2! * 2!), where 10! represents 10 factorial, and the denominators account for the repeated letters.Calculating this, we get:10! / (3! * 2! * 2!) = 10 × 9 × 8 × 7 × 6 × 5 / (3 × 2) = 30,240So, the number of ways the letters of the word "EXCELLENCE" can be arranged is 30,240.