Question Number 38475 by Rio Mike last updated on 26/Jun/18
$${A}\:{committee}\:{of}\:\mathrm{2}\:{girls}\:{and}\:\mathrm{3}{boys} \\ $$$${is}\:{to}\:{be}\:{form}\:{from}\:\mathrm{6}{girls}\:{and}\:\mathrm{8}{boys} \\ $$$${how}\:{many}\:{different}\:{committee}\:{can} \\ $$$${be}\:{formed} \\ $$$$? \\ $$
Answered by MrW3 last updated on 26/Jun/18
$${C}_{\mathrm{6}} ^{\mathrm{2}} ×{C}_{\mathrm{8}} ^{\mathrm{3}} =\mathrm{15}×\mathrm{56}=\mathrm{840} \\ $$