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

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 
2
Discuss

In how many ways the letters of the word “UNDERDOG” can be arranged such that the first and last letters are same and no two vowels are together?
Solution 
3
Discuss

Three chairs are arranged in a row facing three other chairs. 4 boys and 2 girls are to be seated on these chairs such that girls are always facing each other. In how many ways can they be seated?
Solution 
4
Discuss

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
Solution 
5
Discuss

The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line, is
Solution 
6
Discuss

A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.
Solution 
7
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 
8
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 
9
Discuss

Six boys and 4 girls are to be seated in two separate rows with five chairs each, such that two particular girls are always together and all the girls are not in the same row. In how many ways can they be seated?
Solution 
10
Discuss

Find the number of ways in which mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game
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