Reference : Permutation & Combination
Q1. From a group of 12 people, a committee of 5 is to be formed with specific conditions: at least 2 women must be included, and no more than 3 men can be part of the committee. If there are 7 women and 5 men in the group, how many ways can the committee be formed?
4,560
4,200
3,560
3,780
Q2. How many different ways can 8 people be arranged in a circular table such that two specific people are always next to each other?
24,576
22,400
18,900
20,160
Q3. From 15 books, 9 are history books and 6 are science books. In how many ways can 5 books be selected such that at least 2 are history books?
5,250
5,005
4,620
4,845
Q4. How many different 4-letter words can be formed using the letters of the word "MATHEMATICS" such that no letter is repeated?
8,120
8,400
7,560
7,920
Q5. A box contains 5 red, 4 blue, and 3 green balls. In how many ways can 4 balls be drawn such that at least 2 colors are represented?
485
495
475
455
Q6. 10 people are to be divided into two teams of 5 each. How many different team combinations are possible?
299
273
286
252
Q7. 8 people are to be seated in a row with 3 specific people always together.
38,880
34,560
45,360
40,320
Q8. A bag contains 6 red, 5 blue, and 4 green balls. In how many ways can 7 balls be drawn?
7,380
7,140
6,480
6,720
Q9. From 12 people, a group of 6 is to be selected with constraints: at least 2 from a specific department of 5 people.
4,896
4,752
4,320
4,536
Q10. How many ways can the letters of "COMBINATION" be arranged?
160,800
145,800
156,600
151,200
Other References :
AP & GP : Link
Area : Link
Average : Link
Boat & Stream : Link
Compound Interest : Link
Height & Distance : Link
LCM & HCF : Link
Logarithm : Link
Percentage : Link
Profit & Loss : Link
Ratio & Proportion : Link
Simple Interest : Link
Speed Distance : Link
Time & Work : Link
Trains Problem : Link
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