Question

De quantas maneiras diferentes, uma pessoa pode se vestir tendo 6 camisas e 4 calças?

Answer 1

Translated in English: How many different ways can a person dress with 6 shirts and 4 pants?

Answer:

In 24 ways he can dress with 6 shirts and 4 pants.

Explanation:

This problem can be solved easily if you know Cartesian product of sets.

• Set of shirts, S = {s1, s2, s3, s4, s5, s6}
• Set of pants, P = {p1, p2, p3, p4}

Now, S × P

= {(s1, p1), (s1, p2), (s1, p3), (s1, p4),

(s2, p1), (s2, p2), (s2, p3), (s2, p4),

(s3, p1), (s3, p2), (s3, p3), (s3, p4),

(s4, p1), (s4, p2), (s4, p3), (s4, p4),

(s5, p1), (s5, p2), (s5, p3), (s5, p4),

(s6, p1), (s6, p2), (s6, p3), (s6, p4)}

Then n (S × P) = 4 × 6 = 24

Note:

• If you do not understand set products, you just simply find the product of the number of shirts and the number of pants.
• The required product will be the number of ways a person can dress.