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In Mathematics / Middle School | 2014-05-02

How many combinations of 3 students can a teacher choose from 32 students?

A. 96
B. 4,960
C. 29,760
D. 32,768

Asked by mjchey

Answer (3)

3 ∗ 2 ∗ 1 32 ∗ 31 ∗ 30 ​
The answer is: 6 29760 ​ or 4960

Answered by xlmichael | 2024-06-10

( 3 32 ​ ) = 3 ! ∗ ( 32 − 3 )! 32 ! ​ = 6 30 ∗ 31 ∗ 32 ​ = 4960

Answered by marmal | 2024-06-10

The number of combinations of 3 students that can be chosen from 32 students is 4,960. Therefore, the correct answer is B. 4,960.
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Answered by xlmichael | 2024-12-20