Three unbiased coins are tossed. What is the probability of getting at most two heads ?
3/4
1/4
3/8
7/8
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1
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A, B, C, and D are four points, any three of which are noncollinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is
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2
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?
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3
Discuss

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
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4
Discuss

If a team of 4 persons is to be selected from 8 males and 8 females, then in how many ways can the selections be made to include at least 1 female
Solution 
5
Discuss

In a single throw with four dice,the probability of throwing seven is
Solution 
6
Discuss

There are seven pairs of black shoes and five pairs of white shoes. They are all put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?
Solution 
7
Discuss

In how many ways can the letters of the word 'LEADER' be arranged?
Solution 
8
Discuss

In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
Solution 
9
Discuss

Ten participants are participating in a competition. In how many ways can the first three prizes be won?
Solution 
10
Discuss

How many numbers can be formed from 1, 2, 3, 4, 5 (without repetition), when the digit at the unit’s place must be greater than that in the ten’s place?
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