Learning Test - Permutations & Combinations

There are 4 different types of chocolates and 5 different types of ice creams, in how many ways can a person buy a chocolate and an ice cream ?

• 9

• 20

• 15

• 45

How many ways can the letters of the word “ORANGE” be arranged ?

• 120

• 240

• 60

• 720

How many ways can the letters of the word “ORANGE” be arranged , in such a way that O and A are always together ?

• 120

• 240

• 360

• 480

What is the rank of a word TIGER, if all possible permutations of the word TIGER are arranged in dictionary order.

• 99

• 111

• 110

• 109

In how many ways can 3 men and 3 women be seated at around table such that no two men sit together?

• 36

• 30

• 24

• 42

A four digit number is formed using digits 1, 3, 5, and 7 without repeating any one of them. What is the sum of all such possible numbers?

• 106656

• 666660

• 106666

• 105556

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

• 12

• 16

• 20

• None of these

There are 4 bananas, 7 apples and 6 mangoes in a fruit basket. In how many ways can a person make a selection of fruits from the basket , in such a way that at least one fruit from each variety is selected . (Assume all the fruits are similar)

• 269

• 280

• 279

• 168

There are 4 bananas, 7 apples and 6 mangoes in a fruit basket. In how many ways can a person make a selection of one or more fruits from the basket. (Assume all the fruits are non-similar)

• (2^17) - 1

• (2^17)

• 279

• 168

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

• 376

• 360

• 420

• data inadequate