R S Aggarwal Solutions for Exercise 2: EXERCISE 8B

There are $12$ steamers plying between $A$ and $B$. In how many ways could the round trip from $A$ be made if the return was made on a different steamer?

A coin is tossed three times and the outcomes are recorded. How many possible outcomes are there?

How many possible outcomes if the coin is tossed four times?

How many possible outcomes if the coin is tossed five times?

If $k^n$ is possible outcomes if the coin is tossed $n$ times, then $k=$

How many arithmetic progressions with $10$ terms are there whose first term in the set $\{1,2,3\}$ and whose common difference is in the set $\{2,3,4\}?$

How many $4-$digit numbers are there, when a digit may be repeated any number of times?

How many $6-$digit numbers can be formed from the digits $0,1,3,5,7,9$ when no digit is repeated? How many of them are divisible by $10 ?$