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  • How many words with five letters can be formed using the letters A, B, C, D, E, F, and G, where the first letter is a consonant and the last letter is a vowel?  <div cl

How many words with five letters can be formed using the letters A, B, C, D, E, F, and G, where the first letter is a consonant and the last letter is a vowel?

 

Option: 1

4380


Option: 2

5880


Option: 3

6380


Option: 4

7240


Answers (1)

best_answer

Considering the possibilities for each position:

For the first letter, it must be a consonant, so there are 4 options (B, C, D, and F).

For the second, third, and fourth letters: There are 7 letters remaining (A, C, D, E, F, G), and any of these letters can be chosen for each position. Therefore, there are 7 options for each of the three middle letters.

For the fifth letter, it must be a vowel, so there are 3 options (A, E, G).

To find the total number of words, we multiply the number of options for each position:

4 (\text{options for the first letter}) \times 7 (\text{options for the second letter} ) \times 7 (\text{options for the third letter}) \times 7 (\text{options for the fourth letter}) \times 3(\text{options for the fifth letter})= 5,880 .

Therefore, there are 5,880 words with five letters that start with a consonant and end with a vowel using the given letters.

Posted by

HARSH KANKARIA

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