Question

30 cars were assembled in a factory though options available for a CD player, an AC and alloy
heels. It is known that 15 of the cars have CD players. 8 of them have AC and 6 of them have alloy
heels. Moreover 3 of them have all three options. Atleast how many cars do not have any option to all.​

Answer 1

Answer:

Atleast 7 Cars do not have any option to all.​

Step-by-step explanation:

Total Cars  T = 30

with CD Players  C=  15

with AC  A = 8

with Alloy wheels W = 6

with all options C∩A∩W = 3

without any option N = ?

T = C + A + W - (C∩A + C∩W + A∩W) + C∩A∩W + N

=> 30 = 15 + 8 + 6 -  (C∩A + C∩W + A∩W) + 3 + N

=> N = (C∩A + C∩W + A∩W) - 2

C∩A∩W = 3

=> Min C∩A = Min C∩W = Min A∩W = 3

=> N  = ( 3 + 3 + 3) - 2

=> N = 7

Atleast 7 Cars do not have any option to all.​