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Number of ways in which three distinct n...

Number of ways in which three distinct numbers can be selected between 1 and 20 both inclusive, whose sum is even is______.

Text Solution

Verified by Experts

The correct Answer is:
570
All even +2 odd 1 even
`""^(10)C_(3)+""^(10)C_(2)xx""^(10)C_(1)`
`(10xx9xx8)/(6)+(10xx9)/(2)xx10`
`120+450+570`
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