If all students of class V sit in a row randomly What is the chance that all boys do not sit togethe...........

Quantitative Aptitude(IBPS PO) Mixed Chart

Directions: Study the following information carefully and answer the questions given beside:
The pie chart gives the breakup of all the students in Delhi public school on the basis of the class they study in:

Total number of students are 200
The Table (I) gives the percentage of boys in each class and the classes are divided into three groups in Table II

If all students of class V sit in a row randomly. What is the chance that all boys do not sit together? (use data only from table III)

0.5

0.6

0.7

0.8

None of these

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Explanation:

Follwoing the common explanation we get ;

Number of student in group A = 20 + 10 + 24 = 54
Number of student in group B = 16 + 30 + 10 = 86
Number of student in group C = 20 + 10 + 40 + 20 = 90
Total number of student in class V = 30
Number of boys in class V = 6
Number of girls in class V = 24
Total number of arrangement = 30P30 = 30!
Consider all the boys as one we have 24 girl + 1 boys = 25 person which can be arranged in 25! Ways i.e. 25!
But 6 boys can also be arranged in 6! Ways among themselves