Question

In a class of 50 students each one come to school by bus or bicycle or on foot 25 by bus 20 by bicycle 30 on foot and 10 students by all three now how many students come to school exactly by two modes of transport not use veendiagram ans 5

Answer 1

Answer:

5

Step-by-step explanation:

In a class of 50 students each one come to school by bus or bicycle or on foot 25 by bus 20 by bicycle 30 on foot and 10 students by all three now how many students come to school exactly by two modes of transport

Total number of students = 50

B = 25

C = 20

F = 30

B∩C  , B∩F & C∩F  - Two modes

B∩C∩F  = 10  ( all modes)

Total Students = B + C+ F - B∩C  - B∩F - C∩F  + B∩C∩F

=> 50 = 25 + 20 + 30 - (B∩C + B∩F +  C∩F) + 10

=> B∩C + B∩F +  C∩F = 35

Exactly by two modes  =  ( B∩C - B∩C∩F )  + (B∩F - B∩C∩F ) + (C∩F - B∩C∩F )

= (B∩C + B∩F +  C∩F ) - 3 *(B∩C∩F)

= 35 - 3 * 10

= 35 - 30

= 5

5 students come to school exactly by two modes of transport