PERMUTATION AND COMBINATION

How many four digit number can be formed with the digits 5,9,1 and 3 only ?

• 64

• 256

• 48

• 40

How many arrangement can be made from the word COMMERCE, such that all the vowels do not come together ?

• 9000

• 9500

• 4500

• 6000

12 students participated in the competition and each get different score. In how many ways can three different prizes given ?

• 1210

• 1320

• 1440

• 12*12*12

In how many ways can 5 different balls be distributed to 4 different boxes, when each of the can hold any no of ball?

• 120

• 720

• 600

• 1024

There are 36 boys and 28 girls in a class. For inter-school competition, 1 boy and 1 girl is to be selected. In how many ways can this selection be done?

• 1000

• 1024

• 1008

• 1320

How many 5 letter words with or without meaning can be formed from the letters of the word ‘AMONG’, when repetition is allowed and when it is not allowed?

• 5^5, 120

• 5^4, 120

• 5^6, 120

• 5^3, 120

How many 3 digit even numbers can be formed from digits – 1, 2, 3, 5, 6, 7 when repetition is not allowed?

• 20

• 30

• 40

• 50

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

• 24000

• 25200

• 26200

• 2000

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

• 360

• 1440

• 720

• 840

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

• 50000

• 50400

• 28200

• 25200