SOLUTION: A veggie wrap at City Subs is composed of 3 different vegetables and 3 different condiments wrapped up in a tortilla. If there are 9 vegetables, 4 condiments, and 4 types of torti

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Question 1095847: A veggie wrap at City Subs is composed of 3 different vegetables and 3 different condiments wrapped up in a tortilla. If there are 9 vegetables, 4 condiments, and 4 types of tortilla available, how many different veggie wraps can be made?
Found 2 solutions by Boreal, josmiceli:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This would be 9C3*4C3*4=84*4*4=1344.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
C( 9,3 ) = +9%21+%2F+%28%28+9+-+3+%29%21%2A3%21+%29+
C( 4,3 ) = +4%21+%2F+%28%28+4+-+3+%29%21%2A3%21+%29+
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C( 9,3 ) = +%28+9%2A8%2A7%2A6%2A5%2A4%2A3%2A2%2A1+%29+%2F+%28+6%2A5%2A4%2A3%2A2%2A1%2A3%2A2%2A1+%29+
C( 9,3 ) = +%28+9%2A8%2A7+%29+%2F+%282%2A3%29+=+84+
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C( 4,3 ) = +%28+4%2A3%2A2%2A1+%29+%2F+%28+%28+4+-+3+%29%2A3%21+%29+
C( 4,3 ) = +%28+4%2A3%2A2%2A1+%29+%2F+%28+1%2A3%2A2%2A1+%29+=+4+
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The number of possible wraps would be the product
of these combinations times the +4+ tortillas available
+84%2A4%2A4+=+1344+
1,344 wraps possible
Definitely get another opinion if needed