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A composer’s guild is planning its spring concert, and ten pieces have been subm
A composer’s guild is planning its spring concert, and ten pieces have been subm
游客
2024-01-14
25
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问题
A composer’s guild is planning its spring concert, and ten pieces have been submitted for consideration. The director of the guild knows that they will only have time to present four of them. If the pieces can be played in any order, how many combinations
选项
A、40
B、210
C、1,090
D、5,040
E、10,000
答案
B
解析
This problem is a combination, so we would use the formula
. Since 10 is our n and 4 is our k; the equation works out to
. Simplifying and multiplying gives us 210 combinations.
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