At a recent dog show, there were 5 finalists. one of the finalists was awarded "best in show" and another finalist was awarded "honorable mention." in how many different ways could the two awards be given out

5

Step-by-step explanation:

5 finalists

4 Honorable mention and 1 best in show

It's a combination, because it's not ordered. For example, a group with

Dogs A, B and C for Honorable mention is the same thing as Dog B, C and A.

So, C₅,₁*C₄,₄ = 5*1= 5

C₅,₁ = 5!/4!1! = 5

C₄,₄ = 4!/4!0! = 1

So, the awards can be given out in 5 different ways.

341

step-by-step explanation:

all you have to do is 9x31 (which equals 279) and then 20x31 (which equals 620). then you have to subtract. 620-279=341.

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step-by-step explanation: vsfdvsfvd