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From a group of 8 volunteers, a team of 3 is formed and one team member is named the leader. How many such teams with a leader are possible?

Competition practicePermutations & Combinations

A56
B336
C168
D112

Step-by-Step Solution

Choose the team:

^{8} C_{3} = 56

. Choose its leader: 3 ways.

56 \times 3 = 168. (336 =^{8} P_{3}

gives all three members different posts.)

Answer: C) 168

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