BSc Mathematics SEM III 2017 2018 2018 MATHS III Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 y and z are non-negative integers with en the Euler Phi fu @ (n) is given by Q which.are not divisible by 2 or 3 3 e r of positive integers from
2. Q5 Also find how many integers are Show that if n 1s a positive integer th
3. Q4 Let nand k be positive integers with For S,. Prove that B) = Find Sign of
4. Q2 i) [f the characteristics equation — of the recurrence relation + has two distinct roots s; and then prove that a, = us|" valie v depends On initial conditions, is the explicit formula for the first five terms of given recurrence re Hon. by-2, If of permutations in da the Coefficient of x” in Use Pascal’s Identity to Pr Whenever n and r are positiv Ifnand rare integers with 4 Solve the recurrence relation Define the terms

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