QJEEM19Mac44f: JEE Main 2019 Mathematics - Class 11 JEEM19Mac44f Solution: The number of 6 digit numbers that can be formed using the…

Question

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The number of 6 digit numbers that can be formed using the digits 0, 1, 2, 5, 7 and 9 which are divisible by 11 and no digit is repeated is :

Accepted Answer

digit 0, 1, 2, 5, 7, 9

\left( {{a_1} + {a_3} + {a_5}} \right) - \left( {{a_2} + {a_4} + {a_6}} \right) = 11\,K

so (1, 2, 9) (0, 5, 7)

Now number of ways to arranging them

= 3! × 3! + 3! × 2 × 2

= 6 × 6 + 6 × 4

= 6 × 10

= 60

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