Answer to Question #98264 in Combinatorics | Number Theory for Salmah

Question #98264
The 10 students who completed a special flying course are waiting to see if they will be awarded the one distinctiin or the one merit award for their offers.
In how many ways can the two awards be given if the same student can recieve both awards?
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1
Expert's answer
2019-11-12T11:00:51-0500

Ways can the two awards be given if the same student can receive both awards (i.e repetition is allowed)


"10\\times10=100"

"1D1M, 1D2M, 1D3M, 1D4M,1D5M,""1D6M,1D7M,1D8M,1D9M,1D10M,""2D1M, 2D2M, 2D3M, 2D4M,2D5M,""2D6M,2D7M,2D8M,2D9M,2D10M,""3D1M, 3D2M, 3D3M, 3D4M,3D5M,""3D6M,3D7M,3D8M,3D9M,3D10M,""4D1M, 4D2M, 4D3M, 4D4M,4D5M,""4D6M,4D7M,4D8M,4D9M,4D10M,""5D1M, 5D2M, 5D3M, 5D4M,5D5M,""5D6M,5D7M,5D8M,5D9M,5D10M,""6D1M, 6D2M, 6D3M, 6D4M,6D5M,""6D6M,6D7M,6D8M,6D9M,6D10M,""7D1M, 7D2M, 7D3M, 7D4M,7D5M,""7D6M,7D7M,7D8M,7D9M,7D10M,""8D1M, 8D2M, 8D3M, 8D4M,8D5M,""8D6M,8D7M,8D8M,8D9M,8D10M,""9D1M, 9D2M, 9D3M, 9D4M,9D5M,""9D6M,9D7M, 9D8M,9D9M,9D10M,""10D1M, 10D2M, 10D3M, 10D4M,10D5M,""10D6M,10D7M, 10D8M,10D9M,10D10M."


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Comments

Assignment Expert
13.11.19, 17:38

One distinction can be given to any of 10 students. Besides, a merit award also can be given to any of 10 students because the same student can receive both awards.

Salmah
13.11.19, 10:56

I'm still confused, isn't the students that can get both rewards are only 10?

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