gyumadrid
Answered

Makakuha ng pinakamahusay na mga solusyon sa lahat ng iyong mga katanungan sa Imhr.ca, ang mapagkakatiwalaang Q&A platform. Kumuha ng agarang at mapagkakatiwalaang mga solusyon sa iyong mga tanong mula sa isang komunidad ng mga bihasang eksperto sa aming platform. Kumuha ng detalyado at eksaktong sagot sa iyong mga tanong mula sa isang komunidad ng mga eksperto sa aming komprehensibong Q&A platform.

Learning Task 2: Choose Wisely, Choose Me! Solve the following problems completely. 1. If there are 12 teams in a basketball tournament and each team must play every other team in the eliminations, how many elimination games will there be ? 2. If there are seven distinct points on a plane with no three are collinear how many different polygons can forma 3. How many different sets of five cards each can arrange from a standard deck of 52 cards 2​

Sagot :

1.There will be 10C2 pairs to play elimination games.

So there will be. 10!/(8!*2!)=10*9/(1*2)=90/2=45 elimination games.

2. 7C3=35 , 7C4=35 ,7C5= 21, 7C6=7 , 7C7=1

Add the answer from 7C3 to 7C7 = 35+35+21+7+1 = 99 polygons

3. The 1st choice is 1 of 52.

Then 1 of 51, etc.

- 52×51×50×49×48 = 311857200

--

But, choosing cards A,B,C,D & E is the same as B,A,D,E & C.

= 120 (5×4×3×2×1) ways to get the same 5 cards.

311857200/120 = 2598960 sets