# In a textbook on mathematics there are three exercises A, B and C consisting of 12, 18 and 10 questions respectively. In how many ways can three questions be selected choosing one from each exercise?

Given: three exercises A, B and C consisting of 12, 18 and 10 questions respectively.

To find: number of ways in which three questions be selected choosing one from each exercise.

Ways of selecting one question from exercise A:12C1 (way of selecting one element from n number of elements.)

Ways of selecting one question from exercise B:18C1

Ways of selecting one question from exercise C:10C1

So number of ways of choosing one question from each exercise A ,B,C =12C1 × 18C1 × 10C1

=12 × 18 × 10

=2160

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