4. For an integer n > 0, let hn denote the number of n-digit integers with two properties (1) each digit is odd, (2) each of the digits 1, 3, 5, 7, 9 occurs an odd number of times. (a) Find ho, h1, h2, h3, h4, h5. (b) Find hn in a closed form.

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Q: (1.3) Show that n - n (n – k) . k + (k + 1) k k 1 - for any two positive integers k and n with k <…

A: Let's find.

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A: Consider the given: Let n and k be positive integers with . Choose the number of ways in which k…

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A: Given Solution:

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Q: an 34an-1 – 289an-2 for n > 3 with initial conditions aj = 68, az = -1734. an

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Q: part ii and iii, thank you

A: According to pascal law,

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