A) \[^{8}{{P}_{5}}\]
B) \[^{7}{{P}_{5}}\]
C) \[^{7}{{C}_{3}}(4\ !)\]
D) \[^{7}{{C}_{3}}(5\ !)\]
Correct Answer: D
Solution :
Out of 10 persons, \[A\] is in and \[G\] and \[H\] are out of the team, so we have to select 4 more from 7 remaining. This can be done in \[^{7}{{C}_{4}}\] ways. These 5 persons can be arranged in a line in \[5\ !\] ways. Hence the number of possible arrangements is \[^{7}{{C}_{4}}.\ 5\ !\ {{=}^{7}}{{C}_{3}}.\,(5\ !)\].
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