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?
40
400
5040
2520
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1
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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?
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2
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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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3
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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?
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4
Discuss

Two variants of the CAT paper are to be given to 12 students. In how many ways can the students be placed in two rows of six each so that there should be no identical variants side by side and that the students sitting one behind the other should have the same variant. Find the number of ways this can be done
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5
Discuss

If A and B are two independent events with P(A) = 3/5 and P(B) = 4/9 , then P(A' ∩ B' ) equals
Solution 
6
Discuss

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.
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7
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In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Solution 
8
Discuss

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
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9
Discuss

Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?
Solution 
10
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?
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