A fiveletter word is to be formed from a group of 5 vowels and 4 consonants, using at least one vowel and at least one consonant. In how many ways the word having a greater number of consonants than vowels can be formed?
40
42
45
52
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1
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How many 3digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated
Solution 
2
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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 
3
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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 
4
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How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
Solution 
5
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Ten participants are participating in a competition. In how many ways can the first three prizes be won?
Solution 
6
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A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.
Solution 
7
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Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?
Solution 
8
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If ^{18}C_{r }= ^{18}C_{r+2 }; find ^{r}C_{5}.
Solution 
9
Discuss

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