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Permutations Combinations IB maths HL

Posted: Wed Jan 22, 2014 7:40 pm
Permutations Combinations - IB Math HL _ IB mathematics Higher Level

In a class of 12 students, 4 are male and 8 are female. How can we find the number of committees of 5 members can be formed containing 2 males and 3 females?

Thanks

Re: Permutations Combinations IB maths HL

Posted: Wed Jan 22, 2014 7:41 pm
Permutations, Combinations - IB Maths HL

The males can be chosen by $^4\mathrm{C}_2$ ways

The females, can be chosen by $^8\mathrm{C}_3$ ways

So, the members of this committee can be chosen by

$^4\mathrm{C}_2 \cdot ^8\mathrm{C}_3 =$

$=6 \cdot 56 =336$ ways.

Hope these help!!

Re: Permutations Combinations IB maths HL

Posted: Wed Jan 22, 2014 7:41 pm
elizabeth wrote:Permutations, Combinations - IB Maths HL

The males can be chosen by $^4\mathrm{C}_2$ ways

The females, can be chosen by $^8\mathrm{C}_3$ ways

So, the members of this committee can be chosen by

$^4\mathrm{C}_2 \cdot ^8\mathrm{C}_3 =$

$=6 \cdot 56 =336$ ways.

Hope these help!!

Thank you Elisabeth!!