LET ME KNOW THE DETAILED PROCESS OF SOLVING THIS QUESTIONS I

LET ME KNOW THE DETAILED PROCESS OF SOLVING THIS QUESTIONS

I KNOW THE ANSWER BUT DON\'T KNOW WHY

9. Godzilla wants to destroy two buildings: a fast-food restaurant and either a tanning salon or a public restroom. He sees the following buildings: 2 fast-food restaurants, 3 tanning salons, and 2. public restrooms. How many ways can Godzilla fulfill his desires?

Solution

Godzilla wants to destroy two bulidings

A fast food building

there are 2 fast food building

number of ways of destroying fast food building=2C1 =2

now, it is given that Godzilla either destroy tanning salons or public restrooms

so, total buliding =3+2=5

number of ways of destroying it = 5C1 =5

Number of ways Godzilla fulfill his desires = 2*5=10..........Answer