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Answer :
The number of ways onetta can select a sandwich and a salad is 65.
When Onetta wants to buy a sandwich and a salad from 4 varieties of sandwiches and 6 salads of Daily Deli or 3 varieties of sandwiches and 7 salads of Better Bites or 5 varieties of sandwiches and 4 salads from Lunch Spot, she has 65 ways.
Therefore, the answer is 65.
Choosing a sandwich and a salad is simultaneous activity, so we apply product rule.
Number of ways a sandwich and a salad can be selected from Daily Deli = 4C1×6C1
Number of ways a sandwich and a salad can be selected from Daily Deli = 3C1×7C1
Number of ways a sandwich and a salad can be selected from Lunch Spot = 5C1×4C1
She can go to Daily Deli or Better Bites or Lunch Spot, but not simultaneously, so we apply the addition rule.
Total number of ways = 4C1×6C1 + 3C1×7C1 + 5C1×4C1
= 4×6 + 3×7 + 5×4
= 65
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