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Formula for Sum of n Terms of an AP

All the 7-dig...

Question

All the 7-digit numbers containing each of the digits 1, 2, 3, 4, 5, 6, 7 exactly once, and not
divisible by 5, are arranged in the increasing order. Find the 2000-th number in this list.

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Solution

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7

digit numbers containing each of the digits

1, 2, 3, 4, 5, 6, 7

exactly once, and not divisible by

5

are arranged in the increasing order. Find the

(2000)^{t h}

number in this list.

7 -

digit numbers containing each of the digits

1, 2, 3, 4, 5, 6, 7

exactly once, and not divisible by

5

, are arranged in increasing order. Then which among the following statements is INCORRECT

?

Q. All the 7 digit numbers containing each of the digits 1, 2, 3, 4, 5, 6, 7 exactly once and not divisible arranged in the increasing oder then-

Q. All the six distinct digit numbers made by digits taken from the set {1, 2, 3, 4, 5, 6, 7} are arranged in descending order. The digit at hundreds place in

3001^{t h}

Q. Let a seven digit number be formed using

1, 2, 3, 4, 5, 6, 7

without repetition such that they are not divisible by

5

. If the numbers are arranged in increasing order, then the

1994^{t h}

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