Word Problems on Counting Principles

Q. $4$ students decide to stand one behind the other. If they have no preference regarding their position, in how many ways can they order themselves in a line?

1. $256$
2. $16$
3. $24$
4. $120$

Q. A family went to a restaurant for dinner. In the menu card, they saw 6 Italian, 10 Indian and 8 Chinese cuisine. What are the number of ways in which they can select each of an Italian, an Indian and a Chinese cuisine?

1. $24$
2. $480$
3. $72$
4. $360$

Q. Alisha has forgotten the passcode of her mobile consisting of 4 distinct digits. What are the number of different combinations she can make for retrieving the passcode?

1. $720$
2. $560$
3. $5040$
4. $5540$

Q. There are 6 types of teddy bears and 4 types of barbie dolls available in a toy shop. Find the number of ways a child can buy one toy of both kind?

1. $24$
2. $15$
3. $12$
4. $20$

Q. How many $3$ lettered words with or without meaning can be formed by using distinct letter of English alphabet?

1. $24\times 25\times 26$
2. $25\times 24\times 22$
3. $26\times 26\times 26$
4. None of the above

Q. Four employees enter into a conference hall where there are 8 seats. The number of ways they can choose their seat is .