Question

A room has 7 doors. In how many ways can a man enter the room through one door and come out through a different door

Answer 1

in 49 ways a man can enter in it in different way

Answer 2

Answer:

42 ways

Step-by-step explanation:

A room has 7 doors

If he enters with door 1 , So, he has 6 options for coming out

If he enters with door 2 ,So, he has 6 options for coming out

If he enters with door 3 ,So, he has 6 options for coming out

If he enters with door 4 ,So, he has 6 options for coming out

If he enters with door 5 ,So, he has 6 options for coming out

If he enters with door 6 ,So, he has 6 options for coming out

If he enters with door 7 ,So, he has 6 options for coming out

No. of ways of ways for man enter the room through one door and come out through a different door = $7 \times 6 = 42$

Hence There are 42 ways for man to enter the room through one door and come out through a different door .