The number of different 5 digit numbers greater than 50000 that can be formed using the digits 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , such that the sum of their first and last digits should not be more than

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The number of different 5 digit numbers greater than 50000 that can be formed using the digits 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , such that the sum of their first and last digits should not be more than 8 , is

TestHub · Accepted Answer

Case I Case II ​ 5 …… 5 …… 5 5 6 6 6 7 7 ​ 0 1 3 0 1 2 0 1 ​ 9 × ( 8 × 8 × 8 ) = 4608 but 50000 is not included, so total numbers 4608 − 1 = 4607

Mathematics - Permutation & Combination Question with Solution | TestHub

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