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A catering service offers 12 appetizers, 9 main courses, and 6 desserts. A customer is to select 5 appetizers, 3 main courses, and 4 desserts for a banquet. In how many ways can this be done? 

 Oct 24, 2018
 #1
avatar+100569 
+1

C ( 12,5)  *  C(9.3) * C(6, 4)   = 997920 ways

 

 

cool cool cool

 Oct 24, 2018
 #2
avatar+65 
-1

Speaking of permutations, here is a list of primes where all of their permutations, including removing digits, are prime:

2: 2

3: 3

5: 5

7: 7

37: 37, 73, 3, 7

73: 73, 37, 7, 3

Also, these are the only primes that fit in this group.

 Oct 24, 2018

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