A shipment of 12 television sets content to defective sets in how many ways can a hotel purchase five of these ads and receive at least two of the defective sets

Total number of ways a hotel can purchase 5 of 12 sets and receive at least 2 defective sets = 288

Step-by-step explanation:

P.S - The exact question is -

Given - A shipment of 12 television sets contains 3 defective  sets.

To find - In how many ways can a hotel purchase  5 of these sets and receive at least 2 of the defective  sets?

Proof -

We know that The combination of n distinct objects taken k at a time is

Now,

The number of ways hotel can receive 2 defective sets among 5 that can be purchased is

⇒ = 84(3) = 252

Now,

The number of ways that hotel receives 3 defective sets among 5 that are purchased is

⇒ = 36(1) = 36

Now,

Total number of ways a hotel can purchase 5 of 12 sets and receive at least 2 defective sets = 252 + 36 = 288

⇒Total number of ways a hotel can purchase 5 of 12 sets and receive at least 2 defective sets = 288

answer: 88

step-by-step explanation: