(a) In an athlete team of 200 players, 75 plays badminton, 70 plays tennis and 80 plays volleyball. 35 plays
tennis and volleyball, 45 plays tennis and badminton, and 55 plays badminton and volleyball. 30 plays all the
three games. Then how many players play exactly two games and how many players plays none of these
games. [4]
(b) How many words with or without meaning can be formed using all the letters of the word "MATHS",
using each letter exactly once? [2]
11
il
al
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plays
tennis and volleyball, 45 plays tennis and badminton, and 55 plays badminton and volleyball. 30 plays all the
three games. Then how many players play exactly two games and how many players plays none of these
games. [4]
(b) How many words with or without meaning can be formed using all the letters of the word "MATHS",
using each letter exactly once? [2]
11
il
al
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