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In: Advanced Math

1. Answer the following questions regarding permutations and combinations. How many different 5-digit octal numbers are...

1. Answer the following questions regarding permutations and combinations.

How many different 5-digit octal numbers are there which do not contain the digit 0?

How many different 5-digit octal numbers are there which do not contain the digit 0 and in which all digits are different?

How many 5-digit octal numbers are there which do not contain the digit 0 and where the third digit is an odd number and the last digit and even number?

How many different combinations of three 5-digit octal numbers and two 3-digit hexadecimal numbers are there where, in all numbers, all digits are odd and where all 5 numbers are different? (for a hexadecimal number, consider 1,3,5,7,9,B,D,F to be odd)

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