A caterer must choose 3 canapés to serve from 12 possible selections. In how many possible combinations can he serve the 3 canapés?
A. 220
B. 440
C. 660
D. 1,100
E. 1,320
OA A
Source: Princeton Review
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A caterer must choose 3 canapes to serve from 12 possible selections. In how many possible combinations can he serve the
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BTGmoderatorDC
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Total ways of serving \(3\) canapes from a possible \(12\) combinations can be given by \(12c3\)BTGmoderatorDC wrote: ↑Mon Aug 24, 2020 6:21 pmA caterer must choose 3 canapés to serve from 12 possible selections. In how many possible combinations can he serve the 3 canapés?
A. 220
B. 440
C. 660
D. 1,100
E. 1,320
OA A
Source: Princeton Review
\(12c3 = \dfrac{12∗11∗10}{3∗2} = 220 \Longrightarrow\)A
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Solution:BTGmoderatorDC wrote: ↑Mon Aug 24, 2020 6:21 pmA caterer must choose 3 canapés to serve from 12 possible selections. In how many possible combinations can he serve the 3 canapés?
A. 220
B. 440
C. 660
D. 1,100
E. 1,320
OA A
The number of possible ways in which he can serve the 3 canapés from 12 is:
12C3 = (12 x 11 x 10)/(3 x 2) = 4 x 11 x 5 = 220
Answer: A
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