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21.

The number of permutations by taking all letters and keeping the vowels of the word COMBINE in the odd places is

96

144

512

576

22.

If ${}^{\mathrm{n}-1}\mathrm{C}_{3}+{}^{\mathrm{n}-1}\mathrm{C}_{4}{}^{\mathrm{n}}\mathrm{C}_{3}$ then n is just greater than integer

5

6

4

7

23.

Product of any r consecutive natural numbers is always divisible by

r!

(r + 4)!

(r + 1)!

(r + 2)!

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25.

Out of 8 given points, 3 are collinear. How many different straight lines can be drawn by joining any two points from those 8 points ?

26

28

27

25

26.

How many odd numbers of six significant digits can be formed with the digits 0, 1, 2, 5, 6, 7 when no digit is repeated ?

120

96

360

288

27.

The number of ways four boys can be seated around a round-table in four chairs of different colours is

24

12

23

64

28.

If ${}^{16}\mathrm{C}_{\mathrm{r}}={}^{16}\mathrm{C}_{\mathrm{r}+1}$, then the value of ${}^{\mathrm{r}}\mathrm{P}_{\mathrm{r}-3}$ is

31

12

210

None

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29.

20 persons are invited for a party. In how many different ways can they and the host be seated at circular table, if the two particular persons are to be seated on either side of the host?

20!

2(18!)

18!

None of these

30.

There are 5 letters and 5 different envelopes. The number of ways in which all the letters can be put in wrong envelope, is

119

44

59

40

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