# In a monthly test, the teacher decides that there will be 3 questions, one from each exercise 7,8 and 9 of the text book. If there are 12 questions in exercise 7, 18 in exercise 8, and 9 in exercise 9, in how many ways can 3 questions be selected.

Please find below the solution to the asked query:

$1\mathrm{questions}\mathrm{from}\mathrm{each}\mathrm{exercise}7,8,9\phantom{\rule{0ex}{0ex}}\mathrm{In}\mathrm{Exercise}7\mathrm{there}\mathrm{are}12\mathrm{ways},\mathrm{In}\mathrm{Exercise}8\mathrm{there}\mathrm{are}18\mathrm{ways},\mathrm{In}\mathrm{Exercise}9\mathrm{there}\mathrm{are}9\mathrm{ways}\phantom{\rule{0ex}{0ex}}\mathrm{So}\phantom{\rule{0ex}{0ex}}\mathrm{by}\mathrm{the}\mathrm{fundamental}\mathrm{principle}\mathrm{of}\mathrm{counting},\mathrm{three}\mathrm{questions}\mathrm{can}\mathrm{be}\mathrm{selected}\mathrm{as}\phantom{\rule{0ex}{0ex}}12\times 9\times 18=1944\mathrm{ways}$

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