SubArea: CombinatoricsLevel: AProject ID: 9000139705Source Problem: 2010007004Accepted: 1Clonable: 1Easy: 0From the group of 10 boys and 5 girls we have to select a small group of 3 boys and 2 girls. How many possibilities exist for this choice?10!7!3!⋅5!3!2!=1200510=976562510⋅5!3!=72005⋅10!3!=3024000