There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
120
130
100
110
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1
Discuss

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
Solution 
2
Discuss

A biased coin in tossed thrice. What is the probability that heads turns out at least twice considering that the probability of a head is 60%?
Solution 
3
Discuss

A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?
Solution 
4
Discuss

The students in a class are seated, according to their marks in the previous examination. Once, it so happens that four of the students got equal marks and therefore the same rank. To decide their seating arrangement, the teacher wants to write down all possible arrangements one in each of separate bits of paper in order to choose one of these by lots. How many bits of paper are required?
Solution 
5
Discuss

A committee of 8 members is to be selected from a group of 12 male and 10 female members. In how many ways the committee is selected such that at most two and at least one male member are there in the committee?
Solution 
6
Discuss

One red flower, three white flowers, and two blue flowers are arranged in a line such that
Solution 
7
Discuss

Three unbiased coins are tossed. What is the probability of getting at most two heads ?
Solution 
8
Discuss

If C(n, 7) = C(n, 5), find n
Solution 
9
Discuss

A number lock on a suitcase has 3 wheels each labeled with 10 digits from 0 to 9. If the opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?
Solution 
10
Discuss

A speaks truth in 75% cases and B in 80% of the cases. In what percentage of the cases are they likely to contradict each other, narrating the same incident?
Solution 
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