exam Maths Puzzle Numerical Ability

WORD PROBLEM : There are 10 women and 8 men in a club. How many diferent committees of 6 each can be selected from the group if equal number of men and women are to be on the committee? PLEASE HELP ME SOLVE!!!!

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Problem Solving: How to solve:
Supppose you have 10 coins that total $0.85. Some coins are dimes and others are nickels. How many of each do you have???? need to formulate a conjecture for the series

L = 1^k + 2^k + 3^k +...+ n^k

^ = to the power of

thanks.