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

(A)

72

(B)

144

(C)

360

(D)

720

Question-2

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-3

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

(A)

2

(B)

4

(C)

5

(D)

6

Question-4

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

(A)

564

(B)

645

(C)

735

(D)

756

Question-5

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?

(A)

32

(B)

48

(C)

36

(D)

60

Question-6

Ashok, Usha,Rani,Sonu are to give speeches in a class.The teacher can arrange the order of their presentation in

(A)

4 ways

(B)

12 ways

(C)

256 ways

(D)

24 ways

Question-7

If ^{n}P_{5} = 60.^{n - 1} P_{3} , then n is.

(A)

6

(B)

15

(C)

10

(D)

12

Question-8

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

(A)

210

(B)

1050

(C)

25200

(D)

21400

Question-9

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-10

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

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