How many 4-letter 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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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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2
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In how many ways the letters of the word “UNDERDOG” can be arranged such that the first and last letters are same and no two vowels are together?
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3
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If a team of 4 persons is to be selected from 8 males and 8 females, then in how many ways can the selections be made to include at least 1 female
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4
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A, B, C, D and E sit on five chairs all of which are facing north. C will sit only on the leftmost chair and B will not sit anywhere to the left of A. In how many ways they can be seated?
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5
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If P(A)=2/5, P(B)=3/10 and P(A ∩ B) =51, then P(A' | B'). P(B' | A') is equal to
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6
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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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7
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How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
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8
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A coin is tossed 5 times. What is the probability that head appears an odd number of times?
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9
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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?
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10
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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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