There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
120
130
100
110
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1
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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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2
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In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
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3
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A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?
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4
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A box contains two white balls, three black balls and four red balls. Balls of the same colour are distinct. The number of ways in which three balls can be drawn from the box if atleast one black ball is to be included in the draw, is
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5
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One red flower, three white flowers, and two blue flowers are arranged in a line such that
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6
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If ,, are probabilities of three mutually exclusive events, then
SolutionAnswer :1/2 
7
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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8
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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
Solution 
9
Discuss

In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
Solution 
10
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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