Question

Need full explanation ​

Answer 1

★ Answer :

→ Refer to the attachment.

Answer 2

Answer:

$\sf \underline{total \: no. \: of \: people \: who \: speak \: } \\ \sf \underline{both \: hindi \: and \: english = 50}$

Step-by-step explanation:

Given:

• Total number of people = 400.
• Number of people who speak english = 200.
• Number of people who speak hindi = 250.

To Find:

• Total number of people who speaks both hindi and English= ?

Solution:

Let H be set of people who speak hindi and E be the set of people who speak english.

According to question,

No. of people who speak hindi = n(H)=250

No of people who speak english = n(E)=200

Total number of people = n(H ∪ E) = 400

No. of people who speak both hindi and english = n(H ∩ E)

Now,

n(H ∪ E ) = n(H) + n(E) - n(H ∪ E)

400 = 250 + 200 - n(H ∩ E)

400 = 450 - n(H ∩ E )

n(H ∩ E ) = 450 - 400

n(H ∩ E ) = 50

Hence, total number of people who speak both hindi and English is 50.