Combinatorial Proofs
There are two natural stages, Jack's pick followed by Jill's pick. Jack chooses one out of 25 fruit, so there are 25 outcomes in this stage. To calculate the number of outcomes for Jill's pick we must know what Jack picked: If Jack picked an apple, then Jill has 14(10) = 140 choices. If Jack picked a pear, then Jill has 15(9) = 135 choices.
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