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Count the ways

Exercise and reference answers

Questions
  1. Answer
    7
    Question
    A menu offers 2 vegetarian and 5 meat entrees. How many entree choices in all?
  2. Answer
    12
    Question
    2 appetizers, 3 entrees, 2 desserts. How many complete dinners?
  3. Answer
    504
    Question
    9 swimmers race. In how many ways can first, second, third be filled?
  4. Answer
    16
    Question
    A potato bar offers 4 toppings. How many different topping subsets?
  5. Answer
    10
    Question
    5 side dishes, choose any 2. How many pairs?
Instructions
Work out each count and type it on the pad.

Explanation

_Source: OpenStax Algebra and Trigonometry (CC BY 4.0), Ch 13 "Sequences, Probability and Counting Theory", section 13.5 COUNTING PRINCIPLES_
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