The number of circles that can be drawn out of 10 points of which 7 are collinear is
130
85
45
72
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#  Quiz 

1
Discuss

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Solution 
2
Discuss

A person tosses an unbiased coin. When head turns up, he gets Rs.8 and tail turns up he loses Rs.4. If 3 coins are tossed, what is probability that he gets a profit of Rs.12?
SolutionPerson will get profit of Rs 12 only when there is 2H (Head) and 1T (Tail) H + H + T = 12 8 + 8 + (4) = 12 Total outcome of 2 head and 1 tail = 2^{3} = 8 i.e (T, H, TH, HT, HH, HHT, HTH, THH) Total event with 2H and 1 T is 3 therfore probability = 3/8 
3
Discuss

From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
Solution 
4
Discuss

From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.
Solution 
5
Discuss

There are three rooms in a motel: one single, one double, and one for four persons. How many ways are there to house seven persons in these rooms?
Solution 
6
Discuss

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

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
Solution 
8
Discuss

Ten participants are participating in a competition. In how many ways can the first three prizes be won?
Solution 
9
Discuss

How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
Solution 
10
Discuss

There are 8 orators A, B, C, D, E, F, G, and H. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
Solution 
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