ICSE Class 7 Answered
In a group of 26 persons,8 take tea but not coffee and 16 take tea.How many take coffee but not tea?
Asked by Jpnath1979 | 23 Nov, 2019, 01:17: PM
Expert Answer
Total person= 28
Person who take tea but not coffee = 8
Person who take tea = 16
person who take tea and coffee both = 16 - 8 = 8
so
n ( T ) = 16
n ( C ) = ?
n ( T ∩ C ) = 8
n ( T U C ) = 28
n ( T U C ) = n ( T ) + n ( C ) - n ( T ∩ C )
28 = 16 + n ( C ) - 8
28 = 8 + n ( C )
n ( C ) = 20
Person who take tea but not coffee = 8
Person who take tea = 16
person who take tea and coffee both = 16 - 8 = 8
so
n ( T ) = 16
n ( C ) = ?
n ( T ∩ C ) = 8
n ( T U C ) = 28
n ( T U C ) = n ( T ) + n ( C ) - n ( T ∩ C )
28 = 16 + n ( C ) - 8
28 = 8 + n ( C )
n ( C ) = 20
Answered by Arun | 23 Nov, 2019, 09:18: PM
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