1) A village has players. A team of 6 players is to be formed .5 members are chosen out of these 10 players and then the captain is chosen from the remaining players. Then choose from the remaining players. The total number of ways of choosing such teams is A) 1260 B) 210 C) $(^{10}C_{6})$ ! D) $(^{10}C_{5})$ 6 Answer: Option AExplanation:Total number of ways of choosing such terms is $^{10}C_{5}$.$^{5} C_{1}$ $\frac{ 10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2\times 1} \times 5$ = $10 \times 3 \times 7 \times 6=1260$
