Question
The number of ways in which three persons can dress themselves when they have 4 shirts. 5 pants and 6 hats between them, is-
- 4C3 × 5C3 ×6C3
- 4P3× 5 P3 × 6 P3
Hint:
Here, we can use the formula
The correct answer is: 4P3× 5 P3 × 6 P3
Given that,
Shirts = 4 , Pants = 5 and Hats = 6, which are distributed among 3 men.
For shirts, Number of ways they can wear = 
For pants, Number of ways they can wear = 
For hats, number of ways they can wear = 
Total number of ways they can wear
Thus, the number of ways in which three persons can dress themselves when they have 4 shirts. 5 pants and 6 hats between them, is 
.
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