Find the number of ways of arranging the letters in the word BEACHFRONT if the second and third letters must be vowels and the last letter must be a consonant. Please explain

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Question :

Find the number of ways of arranging the letters in the word BEACHFRONT if the second and third letters must be vowels and the last letter must be a consonant. Please explain

Answer : 

Explanation of above question is provided below:
Last letter must be consonant and there are 7 consonants. So number of ways to fill last letter = 7P1. 
Second and third letter must be vowels and there are 3 vowels. So number of ways to fill second and third letters = 3P2.
Now 7 positions are remaining and there are 7 letters remaining. So number of ways for remaining 7 letters = 7P7
Total number of ways is multiplication of above 3 cases. Calculation is shown below. 


So total number of ways = 211680

If you have any queries regarding above solution please comment below. 

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