Karan has 5 different shirts, 4 different pairs of trousers and 3 different pairs of shoes. In how many different ways can he dress in one shirt, one pair of trousers and one pair of shoes?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 60
When one thing is chosen from each group, the numbers of choices are multiplied.
Shirt: 5 choices; trousers: 4 choices; shoes: 3 choices
Ways \(=5\times4\times3=60\)
Why the other options are incorrect
Option (1) 12 — Incorrect. This is \(5+4+3\); adding is used only when just one item in all is chosen.
Option (2) 20 — Incorrect. This is \(5\times4\), which leaves out the 3 choices of shoes.
Option (3) 120 — Incorrect. This is \(5!\), which has nothing to do with the three groups.