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प्रश्न
Each student in a class of 35 plays atleast one game among chess, carrom and table tennis. 22 play chess, 21 play carrom, 15 play table tennis, 10 play chess and table tennis, 8 play carrom and table tennis and 6 play all the three games. Find the number of students who play only carrom (Hint: Use Venn diagram)
उत्तर
Let A, B and C represent students play chess, carrom and table tennis.
n(A) = 22, n(B) = 21, n(C) = 15
n(A ∩ C) = 10, n(B ∩ C) = 8, n(A ∩ B ∩ C) = 6
Let “x” represent student play chess and carrom but not table tennis.
Let us represent the data in Venn diagram.
From the Venn diagram we get,
Number of students play atleast one game = 35
12 – x + x + 13 – x + 2 + 6 + 4 + 3 = 35
40 – 35 = x
5 = x
Number of students who play only carrom
= 13 – x
= 13 – 5
= 8
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संबंधित प्रश्न
State, whether the pair of sets, given below, are equal sets or equivalent sets:
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Write the cardinal number of the following set:
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C = {Squares of first four whole numbers}
D = {Odd numbers divisible by 2}.
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Given:
A = {Natural numbers less than 10}
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C = {Squares of first four whole numbers}
D = {Odd numbers divisible by 2}.
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A = {Natural numbers less than 10}
B = {Letters of the word ‘PUPPET’}
C = {Squares of first four whole numbers}
D = {Odd numbers divisible by 2}.
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A = {Natural numbers less than 10}
B = {Letters of the word ‘PUPPET’}
C = {Squares of first four whole numbers}
D = {Odd numbers divisible by 2}.
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A = {Natural numbers less than 10}
B = {Letters of the word ‘PUPPET’}
C = {Squares of first four whole numbers}
D = {Odd numbers divisible by 2}.
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Each student in a class of 35 plays atleast one game among chess, carrom and table tennis. 22 play chess, 21 play carrom, 15 play table tennis, 10 play chess and table tennis, 8 play carrom and table tennis and 6 play all the three games. Find the number of students who play only chess (Hint: Use Venn diagram)
