Permutations & combinations aptitude

Question 1

In how many distinct ways can the letters of the word LEVEL be arranged?

Accepted Answer

30

Answer

120

Answer

60

Answer

20

Question 2

In how many ways can 3 books be chosen from 8 different books?

Accepted Answer

56

Answer

336

Answer

24

Answer

112

Question 3

A committee of 5 is to be formed from 6 men and 4 women so that it has exactly 2 women. In how many ways can this be done?

Accepted Answer

120

Answer

60

Answer

240

Answer

90

Question 4

How many 4-digit numbers can be formed using the digits 1 to 6 if no digit is repeated?

Accepted Answer

360

Answer

1296

Answer

720

Answer

15

Question 5

In how many ways can 6 people be seated around a round table?

Accepted Answer

120

Answer

720

Answer

360

Answer

100

Question 6

In how many ways can the letters of the word ORANGE be arranged so that all the vowels come together?

Accepted Answer

144

Answer

72

Answer

720

Answer

36

Question 7

How many diagonals does a regular decagon (10-sided polygon) have?

Accepted Answer

35

Answer

45

Answer

40

Answer

30

Question 8

How many three-digit even numbers can be formed using the digits 0–9 with no digit repeated?

Accepted Answer

328

Answer

360

Answer

320

Answer

405