A car will hold 2 in front seat and 1 in rear seat. If among 6 persons 2 can drive, then number of w

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Gujarati

Hindi

6.Permutation and Combination

medium

A car will hold $2$ in the front seat and $1$ in the rear seat. If among $6$ persons $2$ can drive, then the number of ways in which the car can be filled is

$10$

$20$

$30$

None of these

Solution

(b) Since $2$ persons can drive the car, therefore we have to select $1$ from these two. This can be done in $^2{C_1}$ ways. Now from the remaining $5$ persons we have to select $2$ which can be done in $^5{C_2}$ ways.

Therefore the required number of ways in which the car can be filled is $^5{C_2}{ \times ^2}{C_1} = 20$.

Standard 11

Mathematics

Out of $6$ boys and $4$ girls, a group of $7$ is to be formed. In how many ways can this be done if the group is to have a majority of boys

medium

The number of $6-$letter words, with or without meaning, that can be formed using the letters of the word $\text{MATHS}$ such that any letter that appears in the word must appear at least twice, is $. . . .. .. $

hard

(JEE MAIN-2025)

The number of seven digit positive integers formed using the digits $1,2,3$ and $4$ only and sum of the digits equal to $12$ is $………..$.

hard

(JEE MAIN-2023)

How many words, with or without meaning, each of $3$ vowels and $2$ consonants can be formed from the letters of the word $INVOLUTE$?

medium

The number of arrangements of the letters of the word $SATAYPAUL$ such that no two $A$ are together and middle letter is consonant, is

normal

A car will hold $2$ in the front seat and $1$ in the rear seat. If among $6$ persons $2$ can drive, then the number of ways in which the car can be filled is

Solution

Similar Questions

Out of $6$ boys and $4$ girls, a group of $7$ is to be formed. In how many ways can this be done if the group is to have a majority of boys

The number of $6-$letter words, with or without meaning, that can be formed using the letters of the word $\text{MATHS}$ such that any letter that appears in the word must appear at least twice, is $. . . .. .. $

The number of seven digit positive integers formed using the digits $1,2,3$ and $4$ only and sum of the digits equal to $12$ is $………..$.

How many words, with or without meaning, each of $3$ vowels and $2$ consonants can be formed from the letters of the word $INVOLUTE$?

The number of arrangements of the letters of the word $SATAYPAUL$ such that no two $A$ are together and middle letter is consonant, is

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