How many words of 4 consonants and 3 vowels c | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Step $1$: Select $4$ consonants from $6$ consonants,which can be done in $^6C_4$ ways.$^6C_4 = \frac{6 	imes 5}{2 	imes 1} = 15$ ways.Step $2$:

Vedclass · Accepted Answer

$756000$

Vedclass · Answer

(B) Step $1$: Select $4$ consonants from $6$ consonants,which can be done in $^6C_4$ ways.$^6C_4 = \frac{6 	imes 5}{2 	imes 1} = 15$ ways.Step $2$: Select $3$ vowels from $5$ vowels,which can be done in $^5C_3$ ways.$^5C_3 = \frac{5 	imes 4}{2 	imes 1} = 10$ ways.Step $3$: The total number of ways to select the letters is $15 	imes 10 = 150$ ways.Step $4$: These $7$ selected letters can be arranged among themselves in $7!$ ways.$7! = 5040$.Step $5$: The total number of words is $150 	imes 5040 = 756000$.

How many words of $4$ consonants and $3$ vowels can be formed from $6$ consonants and $5$ vowels?

Similar Questions

$A$ student has to answer $10$ out of $13$ questions in an examination,choosing at least $5$ questions from the first $6$ questions. The number of choices available to the student is:

Find the number of ways of selecting $9$ balls from $6$ red balls,$5$ white balls,and $5$ blue balls if each selection consists of $3$ balls of each colour.

The number of ways to select one or more books from $6$ books is:

In how many ways can Rs. $16$ be divided among $4$ persons if none of them gets less than Rs. $3$?

If $n$ objects are arranged in a row,then the number of ways of selecting three of these objects such that no two of them are next to each other is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module