Acertain club contains 10 men and 10 women. a six-member committee consisting of 2 men and 4 women must be chosen from the club. how many committees are possible

Out of the men the number of ways you can choose 2 is 10C2 = (10*9) / (2*1)

= 45 ways

out of the women  number of ways = 10C4 = (10*9*8*7) / (4*3*2*1)

=  210 ways

So the  number of committees possible = 45 * 210 =  9450.

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