A college has 8 football players. A four member team and a captain will be selected out of this 8 players. How many different selections can be made?

240

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260

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280

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300

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Solution

The correct option is C 280
We can select the four member team out of the 8 players i $^{8} C_{4}$ ways = 70 ways
Captain will be selected among the remaining 4 players in $^{4} C_{1}$ ways = 4 ways
Therefore, total number of ways possible $= 70 \times 4 = 280$

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A college has 8 football players. A four member team and a captain will be selected out of this 8 players. How many different selections can be made?

The correct option is C 280We can select the four member team out of the 8 players i 8C4 ways = 70 ways Captain will be selected among the remaining 4 players in 4C1 ways = 4 ways Therefore, total number of ways possible =70×4=280

The correct option is C 280
We can select the four member team out of the 8 players i $^{8} C_{4}$ ways = 70 ways
Captain will be selected among the remaining 4 players in $^{4} C_{1}$ ways = 4 ways
Therefore, total number of ways possible $= 70 \times 4 = 280$