On the first day of baseball tryouts, 151 boys of ages 10(T), 11(E), and 12 (W)

Question

On the first day of baseball tryouts, 151 boys of ages 10(T), 11(E), and 12 (W) showed up. They were asked what position they play: infield, outfield, or catcher. The results are shown in the table. Using the letter labels in the table, find the number of players in each of the following sets. W C (O C) W (W o') (E r) The number of players in the set W C is. The number of players in the set (O C) W is. The number of players in the set (W o') (E r) is. Enter your answer in each of the answer boxes

Explanation / Answer

1.

WnC = boys who are 12 year old and catcher = 18

2.

(OuC)nW = (Boys who are either catacher or outfield) and 12 years old

= 23 + 18 = 41

3.

if it's

(WnO)U(EnI) = boys who are either 12 year old outfield or 11 year old infield

= 17 + 23 = 40

If it's

(WnO')U(EnI') = boys who are either 12 year old and not outfield or 11 year old and not infield

= 23 + 18 + 11 + 10 = 62

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