How many ways can first and second awards and three honorable mention awards be given to nine contestants?

This one is hard but I came up with 6,048 awards given away. is this right. Thanks for any help given.

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- Jul 9th 2006, 02:40 AMkwtolleyHow many ways
How many ways can first and second awards and three honorable mention awards be given to nine contestants?

This one is hard but I came up with 6,048 awards given away. is this right. Thanks for any help given. - Jul 9th 2006, 04:50 AMSoroban
Hello, kwtolley!

This one is similar to the committee-selection problem.

Quote:

How many ways can first and second awards and three honorable mention awards

be given to nine contestants?

I came up with 6,048. is this right? . Sorry, no

The first award can be given to any of the contestants.

The second award can be given to any of the other contestants.

The honorable mentions are given to three of the other seven contestants

. . in ways.

Therefore: . ways.

- Jul 10th 2006, 09:05 AMkwtolleyThanks
you for checking my answer