At an election meeting 10 speakers are to address the meeting. The only protocol to be observed is that whenever they speak the pm should speak before the mp and the mp should speak before the mla. In how many ways can the meeting be held?
A
10!/3
B
10!/6
C
10!/2
D
10!/4
E
10!/5
Correct answer: B
Explanation
10 speakers can be arranged in 10! ways. Protocol to be observed only one possibility from 3! is appropriate. So, total number of ways=10!/3!=10!/6
Source: Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.
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AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.
id aqua_rat:302e347521f4e40528078bbe0fbf44fa
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