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Practice — Maths 11 • Combinatorics

Combinatorics problems
Difficulty: ★★☆
1852

At Chorsu Bazaar, 7 types of skullcaps and 6 types of belts are sold. In how many ways can one buy a gift consisting of one skullcap and one belt?

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Combinatorics problems
Difficulty: ★★☆
1853

In the café “Oshkhona”, in the morning one can order a “Light Breakfast” set consisting of one drink (tea, coffee, ayran, compote) and one pastry (samsa, katlama, or bugirsok). How many different such sets are possible?

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Combinatorics problems
Difficulty: ★★☆
1854

At the market in Samarkand, the following dried fruits are sold: raisins, dried apricots, uryuk, prunes, dried apples, and pears. In how many ways can one buy a set of two different types of dried fruits?

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Combinatorics problems
Difficulty: ★★☆
1855

When buying a “Damas” car, one can choose the body color (white, silver, black, blue) and the seat upholstery material — fabric or leather. How many different “color + seats” configurations are possible in total?

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Combinatorics problems
Difficulty: ★★☆
1856

A university librarian is arranging a special exhibition dedicated to Alisher Navoi with rare editions of his works: “Khamsa”, “Divan”, “Confusion of the Righteous”, and a collection of lyrics. The books need to be placed in a row on one shelf. In how many ways can the librarian do this?

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