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Question -

A person wants to buy one fountain pen, one ball pen, and one pencil from a stationery shop. If there are 10 fountain pen varieties, 12 ball pen varieties and 5 pencil varieties, in how many ways can he select these articles?



Answer -

Given:

10 fountain pens, 12ball pens, and 5 pencil

Here the person has to

(i) Select a ball penfrom 12 ball pens.

(ii) Select a fountainpen from 10 fountain pens, and

(iii) Select a pencilfrom 5 pencils.

The number of ways toselect one fountain pen is 10C1 and similarlythe number of ways to select one ball pen is 12C1 andnumber of ways to select one pencil from 5 pencils is 5C1

Hence, the number ofways to select one fountain pen, one ball pen and one pencil from a stationeryshop is 10C1 × 12C1 × 5C1= 10 × 12 × 5 = 600 ways.

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