Engineering Board Exam Reviewer · Fundamental Counting Principle · easy

A menu offers 5 soups, 7 entrees, and 4 drinks. How many different meals consisting of one soup, one entree, and one drink can be ordered?

  1. 140
  2. 16
  3. 35
  4. 120

Answer

A. 140

Solution

By the fundamental counting principle: 5×7×4=140 meals.

More Fundamental Counting Principle questions

  1. A restaurant offers 4 appetizers, 6 main courses, and 3 desserts. How many different 3-course meals (one from each category) can be ordered?
  2. A license plate consists of 3 letters followed by 4 digits, and repetition is allowed. How many different license plates are possible?
  3. How many different outfits can be made from 5 shirts, 3 pants, and 2 pairs of shoes?
  4. A coin is tossed 5 times. How many different sequences of heads and tails are possible?
  5. How many 4-digit numbers can be formed using the digits 1 through 9 (no repetition) if the number must be even?
  6. How many 5-digit numbers greater than 30,000 can be formed from the digits 1,2,3,4,5,6 without repetition?
  7. How many positive divisors does 360 have?
  8. There are 3 roads from town A to town B, 4 roads from town B to town C, and 2 direct roads from town A to town C. In how many ways can a…
  9. How many 4-letter codes can be formed from the 26 letters of the alphabet if the first letter must be a vowel and no letter may be repeated?
  10. How many 3-digit even numbers are there?

All Fundamental Counting Principle questions