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?
12
13
17
18
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1
Discuss

If ^{18}C_{r }= ^{18}C_{r+2 }; find ^{r}C_{5}.
Solution 
2
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?
Solution 
3
Discuss

What is the sum of all 4 digit numbers that can be formed by the digits 1, 2, 3, 4 each exactly once
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4
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 
5
Discuss

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Solution 
6
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 
7
Discuss

A committee of 8 members is to be selected from a group of 12 male and 10 female members. In how many ways the committee is selected such that at most two and at least one male member are there in the committee?
Solution 
8
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 
9
Discuss

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
Solution 
10
Discuss

How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.
Solution 
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