Question

Neela has twelve different skirts, ten different tops, eight different pairs of shoes, three different necklaces and five different bracelets. In how many ways can Neela dress up?

(a) 50057

(b) 14400

(c) 34870

(d) 56732

I have been asked this question in my homework.

My enquiry is from Fundamental Principle of Counting topic in section Counting of Discrete Mathematics

Answer 1

Correct answer is (b) 14400

Explanation: By the basic counting principle, the number of different ways = 12 × 10 × 8 × 3 × 5 = 14400. Note that shoes come in pairs. So she must choose one pair of shoes from ten pairs, not one shoe from twenty.