A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?
A
1360
B
1380
C
1280
D
1260
E
1460
Correct answer: D
Explanation
A team of 6 members has to be selected from the 10 players. This can be done in 10C v 6 or 210 ways.
Now, the captain can be selected from these 6 players in 6 ways.
Therefore, total ways the selection can be made is 210×6= 1260
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:cb38a39ea7afa41d83ecb4fc343b6fd6
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