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  • A password consists of 4 letters, where each letter can be either a vowel (a, e, i, o, u) or a consonant. However, repetition of letters is not allowed. How many differen

A password consists of 4 letters, where each letter can be either a vowel (a, e, i, o, u) or a consonant. However, repetition of letters is not allowed. How many different passwords are possible?

 

Option: 1

120 ways


Option: 2

180 ways


Option: 3

176 ways


Option: 4

220 ways


Answers (1)

best_answer

To solve this, we need to consider the number of choices for each position in the password without repetition.

For the first position, there are 5 choices (vowels or consonants). Once the first position is determined, there are 4 choices remaining for the second position. For the third position, there are 3 choices left, and for the fourth position, there are 2 choices remaining.

To find the total number of possible passwords, we multiply the number of choices for each position: 5 choices × 4 choices × 3 choices × 2 choices = 120 ways.


 

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Riya

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