First slide

Permutations

Question

Out of 10 consonants and 4 vowels, words with 6 consonants and 3 vowels are formed. The number of such words is

Moderate

A

$\frac{7}{11} (12!)$
B

$\frac{9}{10} (12!)$
C

$\frac{7}{10} (11!)$
D

$\frac{4}{5} (12!)$

Solution

The number of ways of choosing 6 consonants out of 10 is $^{10} C_{6}$ and 3 vowels out of 4 in $^{4} C_{3}$ .
Thus number of such words is $(^{10} C_{4}) (^{4} C_{3}) (^{9} P_{9}) = \frac{7}{11} (12!)$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App