A. 5
B. 6
C. 7
D. 8
Explanation:
Maximum number of such different groups = ABC, ABD,ABE, BCE,BDE,CEA,DEA =7.
Alternate method:
Total number of way in which 3 boys can be selected out of 5 is 5C3
Number of ways in which CD comes together = 3 (CDA,CDB,CDE)
Therefore, Required number of ways = 5C3 -3
= 10-3 =7.
Related Mcqs:
- The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally?
A. 4
B. 5
C. 6
D. 7 - The average height of 35 boys in a class was calculated as 180cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places)?
A. 179.29 cm
B. 178.29 cm
C. 179.38 cm
D. 178.39 cm - The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
A. 47.55 kg
B. 48 kg
C. 48.55 kg
D. 49.25 kg - In how many ways can live boys and three girls sit in a row such that all boys sit together?
A. 4800
B. 5760
C. 2880
D. 15000 - A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
A. 70, 50
B. 60, 60
C. 50, 70
D. 40, 80 - The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is___________?
A. 1:2
B. 2:3
C. 3:4
D. 3:5 - What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?
A. 1/21
B. 4/7
C. 2/7
D. 5/7 - The ratio of the number of boys and girls in a college is 7 : 8. If the percentage iikcrease in the number of boys and girls be 20% and 10% respectively, what will be the new ratio ?
A. 8 : 9
B. 17 : 18
C. 21 : 22
D. Cannot be determined - A class has 90 students. If the ratio of boys and girls is 7:8, find the number of boys in the class.
A. 48
B. 42
C. 60
D. 70 - The ratio of the number of boys and girls is 3:2 if 20 % of the boys and 30 % of the girls are scholarship holders then the percentage of students who do not get scholarship is_________?
A. 50
B. 72
C. 75
D. 76
