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Question
How many five-digit multiples of 11 are there, if the five digits are 3, 4, 5, 6 and 7?
How many five-digit multiples of 11 are there, if the five digits are 3, 4, 5, 6 and 7?
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Solution
The correct option is A 12
A number is divisible by 11, if the difference between the sum of digits at even places and odd places is either 0 or divisible by 11.Numbers 5,3,6,4,7 is a multiple of 11.
The number at odd places 5,6,7 can be arranged in 3! ways and 3,4 can be arranged in 2! ways. Therefore, total number of ways of such numbers =3!2!= 12
A number is divisible by 11, if the difference between the sum of digits at even places and odd places is either 0 or divisible by 11.Numbers 5,3,6,4,7 is a multiple of 11.
The number at odd places 5,6,7 can be arranged in 3! ways and 3,4 can be arranged in 2! ways. Therefore, total number of ways of such numbers =3!2!= 12
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