CBSE Class 12-science Answered
find total number of odd interger between 1000 and 8000 have distinct digit ?
Asked by deepak.embedded | 03 Feb, 2010, 02:09: PM
Expert Answer
Dear Student
M= Number of number of 4 digited that have distinct digits= 10P4=10X9X8X7------------------(1)
Number of 4 digited that have distinct digits and starts/ends with a given digit= 9P3=9X8X7------(2)
the number of integers starts with 0 or 8 or 9 in M= 3/10 of M=3X9X8X7----(4)
Number of number of 4 digited and inbetween 1000,8000 that have distinct digits=(10X9X8X7)-(3X9X8X7)=7X9X8X7----(5)
And half of (5) are even
==>total number of odd interger between 1000 and 8000 have distinct digit =(1/2)X7X9X8X7=1764
Regards
Team
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