In a class, 37 students can speak English and 22 can speak Hindi, and 9 can speak both English and Hindi. find the total number of students in a class, if all the students can speak at least one of the two languages.
Answers
68 students in a class, if all the students can speak at least one of the two languages.
Explanation:
lets Hindi = H, English = E and total no. of students = x
Given values:
n( H ∪ E ) = x ⇒The students who can speek languge or languages.
n( H ∩ E ) = 9 ⇒ The students who can speak both English and Hindi.
n( H ) = 22 ⇒The students speaking Hindi
n( E ) = 37 ⇒ The students speaking English
By using formula,
n( H ∪ E ) = n( H ) + n ( E ) + n( H ∩ E )
By substituting the values in the above formula:
x = 22 + 37 + 9
x = 68
∴ 68 are the total number of students in a class, if all the students can speak at least one of the two languages.
Answer:
The total number of students in a class are 68
Explanation:
GIVEN:
In a class, 37 students can speak English.
22 can speak Hindi.
9 can speak both English and Hindi.
68 understudies in a class, in the event that every one of the understudies can talk something like one of the two dialects.
lets us consider
Hindi = H, English = E and absolute no. of understudies = x
Given values:
n( H ∪ E ) = Z ⇒The understudies who can speak languge or dialects.
n( H ∩ E ) = 9 ⇒ The understudies who can talk both English and Hindi.
n( H ) = 22 ⇒The understudies communicating in Hindi
n( E ) = 37 ⇒ The understudies communicating in English
By the above given data
n( H ∪ E ) = n( H ) + n ( E ) + n( H ∩ E )
By substituting the qualities in the above equation
Z= 22 + 37 + 9
Z= 68
∴ The total number of students in a class, if all the students can speak at least one of the two languages are 68
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