Question

in a survay conducted on student studing in grade 10 at shree sharada secondary school to determine sutiable tripfor educational trips among pokhara , lumbani,ilam it was found that 40 students considered pokhara to be suitable , 30 students considure lumbani,and 45 students considred ilam to besuitable while 15 students of that grade said that all three places are suitable and 5 students did notexpress any opinion to find how many studens are studingin grade 10 in the sharada secoundary school calculate .

Answer 1

To calculate the total number of grade 10 students at Shree Sharada Secondary School, we sum the numbers of students preferring each location and subtract those who were counted for all three, then add those without an opinion, yielding a total of 105 students.

Step-by-step explanation:

To calculate the total number of students studying in grade 10 at Shree Sharada Secondary School, we need to use the principle of inclusion and exclusion. According to the survey, 40 students considered Pokhara to be suitable, 30 students considered Lumbini, and 45 students considered Ilam suitable. However, 15 students said that all three places are suitable, and 5 students did not express any opinion.

First, we add the number of students who preferred each place: 40 (Pokhara) + 30 (Lumbini) + 45 (Ilam) = 115. Then we must subtract the students who were counted three times because they liked all three places: 115 - 15 = 100. Finally, we add the students who did not express any opinion because they also need to be included in the total count: 100 + 5 = 105 students are studying in grade 10 at Shree Sharada Secondary School.