Question

In Our Committee , 50 People Speak French , 20 Speak Spanish And 10 Speak Both Spanish And French How Many Speak At Least One Of These Two Languages​

Answer 1

$\fbox{ \fbox{ \bold{ \huge{Given :- \: }}}}$

$\bold{ \large{Number \: Of \: People \: Who \: Speak \: French \: = \: n(F) \: = \: 50 \: }}$

$\bold{ \large{Number \: Of \: People \: Who \: Speak \: Spanish \: = \: n(S) \: = \: 20 \: }}$

$\bold{ \large{Number \: Of \: People \: Who \: Speak \: Both \: Spanish \: And \: French \: = \: n(S \: Π \: F) \: = \: 10 \: }}$

$\fbox{ \fbox{ \bold{ \huge{To \: Find :- \: }}}}$

$\bold{ \large{Number \: Of \: People \: Who \: Speaks \: At \: Least \: One \: Of \: This \: Two \: Language \: = \: n(S \: U \: F) \: = \: ? \: }}$

$\fbox{ \fbox{ \bold{ \huge{Solution :- \: }}}}$

$\bold{ \large{n( S \: U \: F ) \: = \: n(F) \: + \: n(S) \: - \: n(S \: Π \: F) \: }} \\ \bold{ \large{n( S \: U \: F ) \: = \: 50 \: + \: 20 \: - \: 10 \: }} \\ \bold{ \large{n( S \: U \: F ) \: = \: 70 \: - \: 10 \: }} \\ \bold{ \large{n( S \: U \: F ) \: = 60 \: }}$

Answer 2

$\mathfrak{\huge{\pink{\underline{\underline{AnswEr :}}}}}$

⚘ People who Speak French = 50

⚘ People who Speak Spanish = 20

⚘ People who Speak Both = 10

❖ Number of People who Speaks at least One of Language = F + S - B(F & S)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 50 + 20 - 10

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 70 - 10

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 60 People