Similar Things

Q. The number of words that can be formd out of the letters of the word COMMITTEE is

1. $9!$
2. $\frac{9!}{(2!{)}^2}$
3. $\frac{9!}{(2!{)}^3}$
4. $\frac{9!}{2!}$

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?

1. 56
2. 66
3. 76
4. 46

Q. There are 5 different caps $c_1,c_2,c_3,c_{4}and{c}_5$ and 5 different boxes $B_1,B_2,B_3,B_{4}and{B}_5$. The capacity of each box is sufficient to accomodate all the 5 caps.

If $C_{1}and{C}_5$ 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?

1. 70
2. 60
3. 75
4. 80

Q. How many 7 digit numbers can be formed using the digits 1, 2, 0, 2, 4, 2, 4?

1. 120
2. 240
3. 360
4. 424

Q. In how many ways can the letters of the word ASSASSINATION be arranged?

1. 181800
2. 818100
3. 108108
4. 10810800

Q. How many numbers greater than a million can be formed with the digits 5, 5, 2, 2, 1, 7, 0?

1. 1200
2. 980
3. 1080
4. 920

Q. Number of ways in which 12 different balls can be divided into groups of 5, 4 and 3 balls are

1. None of these
2. $\frac{12!}{5!4!}$
3. $\frac{12!}{5!4!3!}$
4. $\frac{12!}{5!4!3!3!}$

Q. Directions:- Study the following information carefully to answer the question given below.

M, P, J, B, R, T and F are sitting around a circle facing at the centre. B is third to the left of J who is second to the left of M. P is third to the left of B and second to the right of R. T is not an immediate neighbour of M.

What is F's position with respect to R?

1. Third to the left
2. Third to the right
3. Both A and B
4. Fourth to the right
5. None of these

Q. In the figure given below, the lines represent one-way roads allowing travel only northwards or only eastwards. How many distinct routes can a car reach point B from point A?

1. 46
2. 76
3. 66
4. 56

Q. How many numbers greater than a million can be formed with the digits 5, 5, 2, 2, 1, 7, 0?

1. 920
2. 1200
3. 980
4. 1080