How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.
17280
4320
720
80
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1
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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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2
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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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3
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Find the probability that a leap year selected at random will contain 53 Sundays
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4
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If ^{18}C_{r }= ^{18}C_{r+2 }; find ^{r}C_{5}.
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5
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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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6
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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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7
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If C(n, 7) = C(n, 5), find n
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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
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9
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How many words, with or without meaning, can be formed using all letters of the word EQUATION using each letter exactly once?
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10
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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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