12 person are seated at a round table. Number of ways of selecting 2 persons not adjacent to each other is
10
11
54
48
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1
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What is the probability of getting at least one six in a single throw of three unbiased dice?s
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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

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
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4
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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?
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5
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
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6
Discuss

Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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7
Discuss

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least three men are in the committee. In how many ways can it be done?
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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

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?
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10
Discuss

If ^{18}C_{r }= ^{18}C_{r+2 }; find ^{r}C_{5}.
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