On their 10th wedding anniversary a Bengali couple bought 10 different sweets and then distributed it between two of their family friends such that both of them got five sweets each. Find the number of different ways in which this distribution can be done.
126
252
350
729
A company could advertise about its new product in 4 magazines, 3 newspapers and 2 television channels. But in a later move it decided to give advertisements in only 2 of the magazines, 1 or the newspapers and 1 of the TV channels. In how many ways can they advertise their product?
30
36
44
64
The first 5 odd natural numbers are written in every possible order. How many numbers can be formed if no repetition is allowed and what is their sum?
5! 6666600
5C1, 105
5!, 55555
None of these
In a staircase there are 4 steps. A person can jump one step, two steps, three steps or all 4 steps. In how many ways can he reach the top?
2
4
6
8
In a box there are 5 distinct white and 6 distinct black balls. A person has to pick up two balls from the box such that there is one each of both the colours. In how many ways can he pick up the balls?
25
30
35
None of these
From a class of 12 students 5 are to be chosen for an excursion. But 3 very close friends decide among themselves that either all three of them will go or none of them will go. In how many ways can the excursion party be chosen?
150
156
162
169
How many different words can be made from the word EDUCATION so that all the vowels are always together? (Do not bother about any meaningless words).
12320
13460
14400
None of these
How many numbers are these between 100 and 1000 such that every digit is either 4 or 5?
1
6
8
None of these
When two fair dice are thrown what is the probability that the sum of the two numbers is even?
None of these
If A and B are two events associated with a random experiment such that P(A) = 0.3, P (B) =0.4 and P (A ( B) =0.5. Find the P (A ( B).
0.6
0.5
0.2
0.7