Andhra Pradesh Board Solutions for Exercise 2: Exercise 5(b)

Find the number of functions from a set $A$ containing $5$ elements into a set $B$ containing $4$ elements.

Find the number of palindromes with $6$ digits that can be formed using the digits $0,2,4,6,8$.

Find the number of palindromes with $6$ digits that can be formed using the digits $1,3,5,7,9$

Find the number of $4$ -digit telephone numbers that can be formed using the digits $1,2,3,4,5,6$ with at least one digit repeated.

Find the number of bijections from a set $A$ containing $7$ elements onto itself.

Find the number of ways of arranging '$r$' things in a line using the given $n$ different things in which at least one thing is repeated.

Find the number of $5$ letter words that can be formed using the letters of the word $NATURE$ that begin with $N$ when repetition is allowed.

Find the number of $5$-digit numbers divisible by $5$ that can be formed using the digits $0,1,2,3,4,5$ when repetition is allowed.