Question Detail

STA 112 PERMUTATIONS AND COMBINATIONS Objective Question

Question

How many different words (with or without meaning) can be made using all the vowels at a time?
Options
A 24
B 60
C 120
Correct Answer
D 240
Correct Answer

Option C is the correct answer.

Detailed Explanation

The English vowels are A, E, I, O, U. There are 5 distinct vowels. To form words using all of them at a time, we need to find the number of permutations of 5 distinct objects. This is 5! (5 factorial) = 5 * 4 * 3 * 2 * 1 = 120.

Hint

Identify the number of distinct vowels and then calculate the factorial of that number.

Question Info