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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. In addition, the first letter must be a vowel. 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. In addition, the first letter must be a vowel. How many different passwords are possible?

 

Option: 1

320 ways


Option: 2

250 ways


Option: 3

376 ways


Option: 4

420 ways


Answers (1)

best_answer

To solve this, we need to consider the number of choices for each position in the password while satisfying the given conditions.

For the first position, there are 2 choices since it must be a vowel (a, e, i, o, u).

For the second position, there are 5 choices since it can be any vowel or consonant.

For the third position, there are 5 choices since it can be any vowel or consonant

For the fourth position, there are 5 choices since it can be any vowel or consonant.

To find the total number of possible passwords, we multiply the number of choices for each position: 2 choices × 5 choices × 5 choices × 5 choices = 250 ways.

 

Posted by

shivangi.bhatnagar

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