### Ibps - Aptitude - Permutation And Combination

How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.

A.  17280

B.  4320

C.  720

D.  80

17280

Explanation :

word SIGNATURE contains total 9 letters.

There are four vowels in this word, I, A, U and E

Make it as, SGNTR(IAUE), consider all vowels as 1 letter for now

So total letter are 6.

6 letters can be arranged in 6! ways = 720 ways

Vowels can be arranged in themselves in 4! ways = 24 ways

Required number of ways = 720*24 = 17280

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

A.  None of these

B.  120

C.  360

D.  720

360

Explanation :
No Explanation available for this question

A local delivery company has three packages to deliver to three different homes. if the packages are delivered at random to the three houses, how many ways are there for at least one house to get the wrong package?

A.  3

B.  5

C.  3!

D.  5!

5

Explanation :
No Explanation available for this question

How many total numbers of not more than 20 digits that can be formed by using the digits 0 ,1 ,2 ,3 , and 4 is

A.  520

B.  520-1

C.  520+1

D.  620

E.   None of these

520

Explanation :
No Explanation available for this question

How many words with or without meaning, can be formed by using all the letters of the word. “DELHI’ using all the letters of the word ‘DELHI’ using each letter exactly once?

A.  10

B.  25

C.  60

D.  120

120

Explanation :
No Explanation available for this question

In how many different ways can the letter of the word ‘AVERGE’ be arranged so that the vowels always come together?

A.  144

B.  24

C.  6

D.  132

144

Explanation :
No Explanation available for this question

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

5040

Explanation :
No Explanation available for this question

In how many ways can 6 green toys and 6 red toys be arranged, such that 2 particular red toys are never together whereas 2 particular green toys are always together?

A.  11! × 2!

B.  9! × 90

C.  4 × 10!

D.  18 × 10!

18 × 10!

Explanation :
No Explanation available for this question

In how many ways can the letters of the word ’RUMOUR’ be arranged

A.  180

B.  90

C.  30

D.  720

180

Explanation :
No Explanation available for this question

There are 6 boxes numbered 1,2,...6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is:

A.  5

B.  21

C.  33

D.  60

E.  27

21

Explanation :
No Explanation available for this question

How many 4 letter words with or without meaning can be formed out of letters of the word. ‘LOGARITHMS, if reptilian of letters is not allowed

A.  40

B.  400

C.  5040

D.  2520

5040

Explanation :
No Explanation available for this question

An urn contains 5 red, 3 green, 2 blue and 4 yellow marbles. If three marbles are picked at random, what is the probability that at least one is yellow?

A.  2/7

B.  4/91

C.  27/143

D.  61/91

E.  None of these

61/91

Explanation :
No Explanation available for this question

A teacher of 6 students takes 2 of his students at a time to a zoo as often as he can, without taking the same pair of children together more than once. How many times does the teacher go to the zoo?

A.  10

B.  12

C.  15

D.  20

15

Explanation :
No Explanation available for this question

How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3, and 4, if repetition of digits is allowed?

A.  499

B.  500

C.  375

D.  376

E.  501

376

Explanation :
No Explanation available for this question

How many five digits positive integers that are divisible by 3 can be formed using the digits 0, 1, 2, 3, 4, and 5, without any of the digits getting repeating?

A.  15

B.  96

C.  216

D.  120

E.  625

216

Explanation :
No Explanation available for this question

There are 8 Orange, 6 White and 7 Black pens in a Parul Bag. Parul picked up randomly a pen. What is the probability that it is neither orange nor white?

A.  1/6

B.  7/3

C.  21/14

D.   1/3

1/3

Explanation :
No Explanation available for this question

In how many ways a committee consist of 8 men and 2 women can be formed from 12 men and 5 women?

A.  4680

B.  4950

C.  4900

D.  5050