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(Q). Find the number of ways of selecting 11 players from a group of 35 iplayers such that the oldest & the youngest players are always included in the group.
Solution:-

Since the oldest & the youngest players i.e. 2 particular players are always included in the group

Hence number of ways = ³⁵⁻²C₁₁₋₂
                                           = ³³C₉ Answer