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The results (win, loss or draw) of 10 fo...

The results (win, loss or draw) of 10 football matches are to be predicted. How many different forecasts can contain exactly 6 correct results?

Text Solution

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ways of choosery 6 correct matches=`10C_6`
Incorrect=2*2*2*2=16
Total different=`10c_6*16`
`=(10*9*8*7)/(4*3*2)*16`
`=6360`.
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