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6 friends go out for dinner and order from a menu of 8 different sandwiches. What is the probability that at least 2 of the group order the same sandwich?
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6 friends go out for dinner and order from a menu of 8 different sandwiches. What is the probability that at least 2 of the group order the same sandwich?
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Jan 5, 2019
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6 friends go out for dinner and order from a menu of 8 different sandwiches. What is the probability that at least 2 of the group order the same sandwich?
Mathematics
middle-school
Karl Von L
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Karl Von L
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There are 8^6 = 262,144 ways the 6 friends can order sandwiches.
There are 8*7*6*5*4*3 = 20,160 ways they can all order different sandwiches.
Your probability is 1 - 20160/262144 = 3781/4096 ≈ 0.9231.
Shubhamoy
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Jan 10, 2019
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Shubhamoy
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