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Tanvi packs 4 tops, 3 skirts and 2 pairs of shoes.

Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

Tanvi packs $4$ tops, $3$ skirts and $2$ pairs of shoes. An outfit is one top, one skirt and one pair of shoes. How many outfits can she wear? How many if she leaves one pair of shoes at home?

Need a reminder? The key ideaShow

If one event can happen in $m$ ways and, after it, a second event in $n$ ways, the two together can happen in $m \times n$ ways. With repetition, each place keeps all its choices; without repetition, each place has one choice fewer than the one before.

The worked solution

Have you tried it?

Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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Tanvi packs 4 tops, 3 skirts and 2 pairs of shoes.

The worked solution

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