A college awarded 38 medals in football, 15 in basket- ball and 20 in cricket. If three medalswent to a total of 50 men and only five men got medals in all the three sports, how many receivedmedal
Question
A college awarded 38 medals in football, 15 in basket- ball and 20 in cricket. If three medalswent to a total of 50 men and only five men got medals in all the three sports, how many receivedmedal
Solution
The problem can be solved using the principle of inclusion and exclusion.
Step 1: Add the total number of medals awarded in each sport. 38 (football) + 15 (basketball) + 20 (cricket) = 73 medals
Step 2: Subtract the total number of men who received medals from the total number of medals awarded. 73 (total medals) - 50 (total men) = 23 medals
Step 3: Since we know that only five men got medals in all three sports, we subtract this number from the result in step 2. 23 (medals) - 5 (men who got medals in all sports) = 18 medals
So, 18 men received medals in only one or two sports.
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