MTH202 Discrete Mathematics assignment no 2 spring June 2011

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Maximum Marks: 15
Due Date: June 16, 2011

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Question 1; Mark: 7
Prove by mathematical induction
for all non-negative integers.

Question 2; Marks: 3
Use the Euclidean algorithm to find gcd(430, 174).

Question 3; Marks: 5
A box contains 3 red and 5 black balls; find the total number of ways such that all red balls stay together and all black balls stay together in the row.