## Fundamental concept and Number of Combinations without Repetition 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. There are 12 volleyball players in all in a college, out of which a team of 9 players is to be formed. If the captain always remains the same, then in how many ways can the team be formed

•  36
•  108
•  99
•  165

165

Q2. There are 16 vacancies for clerks in a certain office, 20 applications are received. In how many ways can the clerks be appointed

•  3800
•  3876
•  969
•  4845

4845

Q3. In how many ways a committee of 5 members can be formed out of 8 gentlemen and 4 ladies, if one particular lady is always to be taken

•  140
•  330
•  560
•  None of these

330

Q4. A male and a female typist are needed in an institution. If 10 ladies and 15 gentlemen apply, then in how many ways can the selection be made

•  125
•  145
•  150
•  None of these

150

Q5. Everybody in a room shakes hand with everybody else. The total number of hand shakes is 66. The total number of persons in the room is

•  11
•  12
•  13
•  None of these

12

Q6. The number of arrangements of the letters of the word BANANA in which two N's do not appear adjacently is

•  40
•  60
•  80
•  100

40

Q7. There are 9 chairs in a room on which 6 persons are to be seated, out of which one is guest with one specific chair. In how many ways they can sit

•  6720
•  60480
•  30
•  346

6720

Q8. A fruit basket contains 4 oranges, 5 apples and 6 mangoes. The number of ways person make selection of fruits from among the fruits in the basket is

•  210
•  209
•  208
•  None of these

209

Q9. In a cricket championship there are 36 matches. The number of teams if each plays one match with other are

•  8
•  9
•  10
•  None of these

9

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