How many words can be formed by taking 3 cons | vedclass

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

Question

(D) Step $1$: Select $3$ consonants from $5$ available consonants,which can be done in $^5C_3$ ways.Step $2$: Select $2$ vowels from $4$ available vow

Vedclass · Accepted Answer

$(^5C_3 	imes ^4C_2) 	imes 5!$

Vedclass · Answer

(D) Step $1$: Select $3$ consonants from $5$ available consonants,which can be done in $^5C_3$ ways.Step $2$: Select $2$ vowels from $4$ available vowels,which can be done in $^4C_2$ ways.Step $3$: The total number of ways to select the letters is $^5C_3 	imes ^4C_2$.Step $4$: Since we have selected $5$ letters in total ($3$ consonants + $2$ vowels),these $5$ letters can be arranged among themselves in $5!$ ways.Step $5$: Therefore,the total number of words that can be formed is $(^5C_3 	imes ^4C_2) 	imes 5!$.

How many words can be formed by taking $3$ consonants and $2$ vowels out of $5$ consonants and $4$ vowels?

Similar Questions

The number of ways in which the following prizes can be given to a class of $20$ boys,first and second Mathematics,first and second Physics,first Chemistry,and first English is:

How many words can be formed with the letters of the word $MATHEMATICS$ by rearranging them?

The number of ways of dividing $52$ cards amongst four players so that three players have $17$ cards each and the fourth player has just one card,is

How many groups can be selected for playing football out of $5$ ladies and $4$ gentlemen such that there should be one lady and one gentleman on each side?

In how many ways can $15$ different books be divided equally among $5$ sets or groups?

Vedclass Test Series

Exam Paper Generator

Online Exam Module