In how many ways can 2prizes be awarded to 9 contestants provided no contestant get both the prizes

Dear student,
Number of choices available for giving 1st prize = 9 
And , number of choices available for giving 2nd prize so that no contestant get both the prizes = 8
So, total ways in which two prizes can be awarded to 9 contestants provided that no contestant get both the prizes = 9×8 = 72.

Regards.

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