An electronics store receives a shipment of 19 graphing calculators, including 7 that are defective. Four of the calculators are selected to be sent to a local high school. How many of these selections will contain no defective calculators?
The number of ways to choose all slections that contain no defective calculators is:
Number
Final Answer:
Step 1 :Translate the problem into English: An electronics store receives a shipment of 19 graphing calculators, including 7 that are defective. Four of the calculators are selected to be sent to a local high school. How many of these selections will contain no defective calculators?
Step 2 :Find the number of ways to choose 4 calculators from the 12 non-defective ones (since there are 19 total calculators and 7 are defective).
Step 3 :Use the formula for combinations: C(n, k) = n! / (k!(n-k)!) where n = 12 (non-defective calculators) and k = 4 (calculators to be selected).
Step 4 :Calculate the combinations:
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Step 9 :Final Answer: