In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

(A)

120

(B)

720

(C)

4320

(D)

2160

Question-2

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

(A)

159

(B)

194

(C)

205

(D)

209

Question-3

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?

(A)

40

(B)

400

(C)

5040

(D)

2520

Question-4

In how many ways can the letters of the word 'LEADER' be arranged?

(A)

72

(B)

144

(C)

360

(D)

720

Question-5

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

(A)

32

(B)

48

(C)

64

(D)

96

Question-6

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

(A)

810

(B)

1440

(C)

2880

(D)

50400

Question-7

P (10, r) = 2 P (9, r), r is equal to

(A)

2

(B)

4

(C)

5

(D)

6

Question-8

The number of different four digit numbers that can be formed with the digits 2,3,4,5,7 using each digit only once is.

(A)

4!

(B)

4 (4!)

(C)

5!

(D)

5 (7!)

Question-9

How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

(A)

5

(B)

10

(C)

15

(D)

20

Question-10

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

(A)

266

(B)

5040

(C)

11760

(D)

86400

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