Others Maths Puzzle

10 digit number has the following: two 4s, two 3s, two 2s, two 1s and two 0s.

The 4s are separated by four digits, the 3s are separated by three digits, the 2s by two digits, the 1s by one digit and the 0s by no digits.

What are the largest and the smallest such numbers? Leading zeroes are not allowed.

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Others Other Question
A credit card number has 6 digits (between 1 to 9). The first two digits are 12 in that order, the third digit is bigger than 6, the forth is divisible by 3 and the fifth digit is 3 times the sixth. How many different credit card numbers exist? An ant starts from a point on the bottom edge of a right circular cylinder and moves in spiral manner along the curved surface area such that it reaches the top of cylinder at a point directly above the starting point in exactly 2 identical spirals. Find the distance covered by the ant if the radius of the cylinder is 6/pie
and height is 20 units.