What is the sum of all 4 digit numbers that can be formed by the digits 1, 2, 3, 4 each exactly once
55566
66660
56456
84738
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1
Discuss

If P(A)=2/5, P(B)=3/10 and P(A ∩ B) =51, then P(A'  B'). P(B'  A') is equal to
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

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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4
Discuss

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
Solution 
5
Discuss

In how many ways can 10 people line up at a ticket window of a railway station?
Solution 
6
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 
7
Discuss

How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
Solution 
8
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 
9
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 
10
Discuss

How many fourdigit numbers, each divisible by 4 can be formed using the digits 5, 6, 7, 8, 9, repetition of digits being allowed in any number?
Solution 
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