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A computer science club with 26 members is going to have a picture taken. The picture...

A computer science club with 26 members is going to have a picture taken. The picture will contain 5 members from the computer science club standing in a line. One of the members will hold a trophy from the club’s recent victory in a Data Science contest. Pictures will be considered different if:

There are different club members in the picture.

The club members stand in a different order.

A different club member holds the plaque.

How many pictures are possible with these restrictions?

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