## Conditional Combinations, Derangement, Division into groups MCQ Basic Level

Compared to other sections, Mathematics is considered to be the most scoring section. If prepared thoroughly, mathematics can help students to secure a meritorious position in the exam. These questions are very important in achieving your success in Exams after 12th.

Q1. In how many ways can 21 English and 19 Hindi books be placed in a row so that no two Hindi books are together

•  1540
•  1450
•  1504
•  1405

1540

Q2. In how many ways can two balls of the same colour be selected out of 4 black and 3 white balls

•  5
•  6
•  9
•  8

9

Q3. Ten persons are arranged in a row. The number of ways of selecting four persons so that no two persons sitting next to each other are selected is

•  34
•  36
•  35
•  None of these

35

Q4. A total number of words which can be formed out of the letters a, b, c, d, e, f taken 3 together such that each word contains at least one vowel, is

•  72
•  48
•  96
•  None of these

96

Q5. Out of 6 boys and 4 girls, a group of 7 is to be formed. In how many ways can this be done if the group is to have a majority of boys

•  120
•  90
•  100
•  80

100

Q6. A lady gives a dinner party for six guests. The number of ways in which they may be selected from among ten friends, if two of the friends will not attend the party together is

•  112
•  140
•  164
•  None of these

140

Q7. In how many ways can 10 balls be divided between two boys, one receiving two and the other eight balls

•  45
•  75
•  90
•  None of these

90

Q8. The number of ways in which thirty five apples can be distributed among 3 boys so that each can have any number of apples, is

•  1332
•  666
•  333
•  None of these

666

Q9. The number of ways in which six different prizes can be distributed among three children each receiving at least one prize is

•  270
•  540
•  1080
•  2160

540

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Conditional Combinations, Derangement, Division into groups MCQ Basic Level