Multiple choice

In a monthly test, the teacher decides that there will be 4 questions, one from Exercises 5, 6, 7 and 8. If there are 10 questions in Exercise 5, 12 in Exercise 6, 14 in Exercise 7 and 9 in Exercise 8, find the number of ways in which four questions may be selected?

  1. 15000

  2. 15120

  3. 15200

  4. 15320
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B Correct answer
Explanation

The number of ways to select one question from each of the four exercises is the product of the number of questions in each exercise: 10 * 12 * 14 * 9 = 15120.

AI explanation

The teacher must select exactly one question from each of the four exercises, so we use the fundamental principle of multiplication. The number of ways is the product of the choices for each exercise: 10 times 12 times 14 times 9. Multiplying these gives 120 times 126, which equals 15120. The result is 15120.

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