Fundamental Principle of Counting
Trending Questions
Q. Number of ways in which 12 different balls can be divided into groups of 5, 4 and 3 balls are
- 12!5!4!3!
- 12!5!4!3!3!
- None of these
- 12!5!4!
Q. How many numbers greater than a million can be formed with the digits 5, 5, 2, 2, 1, 7, 0?
- 980
- 920
- 1200
- 1080
Q. How many 7 digit numbers can be formed using the digits 1, 2, 0, 2, 4, 2, 4?
- 360
- 240
- 120
- 424
Q. The number of words that can be formd out of the letters of the word COMMITTEE is
- 9!(2!)3
- 9!
- 9!(2!)2
- 9!2!
Q. In the figure given below, the lines represent one way roads allowing travel only northwards or only eastwards. Along how many distinct routes can a car reach point A from point B?


- 56
- 66
- 76
- 46
Q. There are 5 different caps c1, c2, c3, c4 and c5 and 5 different boxes B1, B2, B3, B4 and B5. The capacity of each box is sufficient to accomodate all the 5 caps.
If C1 and C5 are similar in all aspects, in how many ways can you arrange the caps in such a way that all the boxes have one cap?
If C1 and C5 are similar in all aspects, in how many ways can you arrange the caps in such a way that all the boxes have one cap?
- 70
- 60
- 75
- 80
Q. In how many ways can the letters of the word ASSASSINATION be arranged?
- 181800
- 108108
- 10810800
- 818100
Q. There are 5 different caps c1, c2, c3, c4 and c5 and 5 different boxes B1, B2, B3, B4 and B5. The capacity of each box is sufficient to accommodate all the 5 caps. If B1 and B5 have the caps C1 and C5 among themselves, in how many ways can you arrange the caps among the 5 boxes?
- 400
- 485
- 500
- 365
Q. A set of 6 questions contains true/false type questions. Maximum how many students can take the test if all the students answer differently from others and must attempt all the questions?
- 32
- 128
- 256
- 64
Q. If you have 3 jeans and 5 trousers, in how many ways can you wear either a jeans or a trouser?
- 5
- 8
- 30
- 15