How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
496
728
486
1084
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1
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There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
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2
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How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.
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3
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If C(n, 7) = C(n, 5), find n
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4
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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 
5
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A box contains two white balls, three black balls and four red balls. Balls of the same colour are distinct. The number of ways in which three balls can be drawn from the box if atleast one black ball is to be included in the draw, is
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6
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Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
Solution 
7
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Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?
Solution 
8
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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?
Solution 
9
Discuss

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

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