MATH SOLVE

3 months ago

Q:
# Will give Brainliest!!!!There are 25 Horses.What is the minimum number of races needed so you can identify the fastest 3 Horses? You can race up to 5 Horses at a time, but you do not have to watch.

Accepted Solution

A:

Answer:7 races. Step-by-step explanation:Make group of 5 horses and run 5 races. Suppose five groups are a,b,c,d,e and next alphabet is its individual rank in this group(of 5 horses).for eg. d3 means horse in group d and has rank 3rd in his group. ( 5 races done)a1 b1 c1 d1 e1a2 b2 c2 d2 e2a3 b3 c3 d3 e3a4 b4 c4 d4 e4a5 b5 c5 d5 e5Now make a race of (a1,b1,c1,d1,e1).(Race 6 done) suppose result is a1>b1>c1>d1>e1which implies a1 must be FIRST.b1 and c1 MAY BE(but not must be) 2nd and 3rd.FOR II position, horse will be either b1 or a2(we have to find top 3 horse therefore we choose horses b1,b2,a2,a3,c1 do racing among them (Race 7 done)The only possibilities are :c1 may be thirdb1 may be second or thirdb2 may be thirda2 may be second or thirda3 may be thirdThe final result will give ANSWER. suppose result is a2>a3>b1>c1>b2then answer is a1,a2,a3,b1,c1.Hence, The answer is 7 races.