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The first n natural numbers, 1 to n, have to be arranged in a row from left to right. The n numbers are arranged such that there are an odd number of numbers between any two even numbers as well as between any two odd numbers. If the number of ways in which this can be done is 72, then find the value of n?

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Abhijeet 06 Mar in CAT Coaching classes, Quantitative Aptitude Coaching

What will be the remainder when 47 to the power 47 is divided by 144 in base 12?

Answer should be in base 12.