Andhra Pradesh Board Solutions for Exercise 1: Exercise 5(a)

Find the sum of all $4$ digit numbers that can be formed using the digits $0,2,4,7,8$ without repetition.

Find the number of $4$-digit numbers that can be formed using the digits $1,2,5,6,7,$ if no two digits are the same. How many of them are divisible by $5$.

Find the number of $4$-digit numbers that can be formed using the digits $1,2,5,6,7,$ if no two digits are the same. How many of them are divisible by $25$.

If the letters of the word $MASTER$ are permuted in all possible ways and the words thus formed are arranged in the dictionary order, then find the rank of the word $REMAST$.

If the letters of the word $MASTER$ are permuted in all possible ways and the words thus formed are arranged in the dictionary order, then find the rank of the word $MASTER$.

If the letters of the word $BRING$ are permuted in all possible ways and the words thus formed are arranged in the dictionary order, then find the ${59}^{th}$ word.

Find the sum of all $4$-digit numbers that can be formed using the digits $1,2,4,5,6$ without repetition.

There are $9$ objects and $9$ boxes. Out of $9$ objects, $5$ cannot fit in three small boxes. How many arrangements can be made such that each object can be put in one box only.