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?
24
12
36
48
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If A, B and C are mutually exclusive and exhaustive events of a random experiment such that P(B)=3/2P(A) and P(C)=1/2P(B), then P(A∪C)=
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2
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In how many ways can the letters of the word 'LEADER' be arranged?
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3
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Ten participants are participating in a competition. In how many ways can the first three prizes be won?
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4
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There are three rooms in a motel: one single, one double, and one for four persons. How many ways are there to house seven persons in these rooms?
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5
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If
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6
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If 18Cr = 18Cr+2 ; find rC5.
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7
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In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
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8
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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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9
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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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10
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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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