Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is
3/20
29/34
47/100
13/102
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1
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In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
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2
Discuss

What is the probability of getting at least one six in a single throw of three unbiased dice?s
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3
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There are 20 people among whom two are sisters. Find the number of ways in which we can arrange them around a circle so that there is exactly one person between the two sisters.
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4
Discuss

Two variants of the CAT paper are to be given to 12 students. In how many ways can the students be placed in two rows of six each so that there should be no identical variants side by side and that the students sitting one behind the other should have the same variant. Find the number of ways this can be done
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5
Discuss

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is not a face card (Jack, Queen and King only)?
Solution 
6
Discuss

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
Solution 
7
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 
8
Discuss

If ^{18}C_{r }= ^{18}C_{r+2 }; find ^{r}C_{5}.
Solution 
9
Discuss

In a single throw with four dice,the probability of throwing seven is
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10
Discuss

The number of circles that can be drawn out of 10 points of which 7 are collinear is
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