other Maths Puzzle Numerical Ability

find the last digit of (1^5+2^5+3^5+.............+99^5)

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other Other Question

Peter wants to find 10 additional people to form a scavenger hunt team with him. If he has 10 friends who would like to participate, how many choices does he have for forming his team? What is the last digit of 6^5^4^3^2^1+5^4^3^2^1+4^3^2^1+3^2^1+2^1+1