Maths Maths Puzzle Numerical Ability Permutation and Combination

Three identical yellow balloons,two identical red balloons and two identical blue balloons are strung in a row to celebrate Shema's birthday.Calculate the number of arrangements if:

The yellow balloons are next to each other and the blue balloons are not next to each other?

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Maths Other Question

(1^3+2^3+3^3+.........+10^3)^10
Find Its Unit Digit
a) 2
b) 8
c) 5
d) 0
If you roll a die 16 times, what is the probability that a five comes up 3 times??

Can this be done without using binomial?