A number lock on a suitcase has 3 wheels each labeled with 10 digits from 0 to 9. If the opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?
720
760
780
680
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1
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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?
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2
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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?
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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 integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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5
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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.
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6
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How many 4letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
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7
Discuss

The students in a class are seated, according to their marks in the previous examination. Once, it so happens that four of the students got equal marks and therefore the same rank. To decide their seating arrangement, the teacher wants to write down all possible arrangements one in each of separate bits of paper in order to choose one of these by lots. How many bits of paper are required?
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8
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If ^{18}C_{r }= ^{18}C_{r+2 }; find ^{r}C_{5}.
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9
Discuss

The value of ^{75}P_{2}
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10
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12 person are seated at a round table. Number of ways of selecting 2 persons not adjacent to each other is
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