Excel in math, science, and engineering

New user? Sign up

Existing user? Sign in

how many different words each containing 2 vowels and 3 consonants can be formed with 5 vowels 17 consonants?

Note by Aishwarya Dadhich 2 years ago

Sort by:

\(\text{2 vowels can be chosen in } \binom{5}{2} , \text{3 consonants can be chosen in } \binom{17}{3}\)

\(\text{Next we observe that order isn't important so the vowels arrange themselves in 2! ways, consonants in 3!}\)

\(\text{No of words = } \binom{5}{2}\binom{17}{3}2!.3! = 10.17.15.16.2 = 81600\) – Aditya Narayan Sharma · 1 year, 3 months ago

Log in to reply

is the answer 6800? ? – Bhumika Sharma · 2 years ago

@Bhumika Sharma – no , but whats your approach in solving this question? – Aishwarya Dadhich · 1 year, 3 months ago

Problem Loading...

Note Loading...

Set Loading...

## Comments

Sort by:

TopNewest\(\text{2 vowels can be chosen in } \binom{5}{2} , \text{3 consonants can be chosen in } \binom{17}{3}\)

\(\text{Next we observe that order isn't important so the vowels arrange themselves in 2! ways, consonants in 3!}\)

\(\text{No of words = } \binom{5}{2}\binom{17}{3}2!.3! = 10.17.15.16.2 = 81600\) – Aditya Narayan Sharma · 1 year, 3 months ago

Log in to reply

is the answer 6800? ? – Bhumika Sharma · 2 years ago

Log in to reply

this question? – Aishwarya Dadhich · 1 year, 3 months ago

no , but whats your approach in solvingLog in to reply