The survey of 7,461 professional athletes indicated their plans over 4th of July holiday weekend. Survey indicated the total of 3,843 professional athletes ready to go to mountain, 425 planned to go hiking, and 2,291 planned to have the BBQ. 133 professional athletes ready on at least mountaining and hiking, 518 planned on at least mountaining and the BBQ, and 180 ready at least hiking and BBQ. Included in each of numbers are 72 professional athletes who prepared all 3 activities.
i. How many professional athletes prepared only to go to mountain?
ii. How many professional athletes prepared on only having a BBQ?
iii. How many professional athletes prepared at least one of the three activities?
iv. How many professional athletes prepared on none of three activities?