Question

In how many ways can 3 people be seated in a row nontaining 7 seats

Answer 1

this is basically combination of 3 from 7

use the formula, 7!/3!4!, to get 35

hence there are 35 such ways.

Please mark brainliest as I have explained it properly.

Thanks

Answer 2

ANSWER:

3 people can sit in 210 different ways in 7 seats  

SOLUTION:

Given, 3 people are to be seated in 7 seats.

We have to find different ways in which they can be seated.

We have to use permutations here to find the number of different ways in which they can be seated.

$\text { So, number of different ways }=7 \mathrm{p}_{3}$

$\text { Number of different ways }=\frac{7 !}{(7-3) !}$

$\begin{array}{l}{=\frac{7 !}{4 !}} \\\\ {=\frac{7 \times 6 \times 5 \times 4 !}{4 !}} \\\\ {=7 \times 6 \times 5}\end{array}$

= 210 ways

Hence, 3 people can sit in 210 different ways in 7 seats.