Question
If we increase each even digit by 1 and decrease each
odd digit by 1 in the number "8951752864" and then arrange all the digits in ascending order, then which digit will be 4 th from the left end after the rearrangement?Solution
8Â Â Â Â Â Â Â Â Â 9Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â 1Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 4 9Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â 0Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â 9Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â 5 After arranging all the number in ascending order, we get 0Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â 9 Â Â Â Â Â Â Â Â 9Â Â Â Â Â Â Â Â Â 4th digit from the left end is "4".
- A school wants to form a committee of 5 students from 6 boys and 4 girls. How many ways can the committee be formed if it must contain at least 3 boys?
In how ways can the selection be made so that a particular member is always included?
7 children are to be selected from a group of 8 boys and 6 girls. In how many ways will the children with at most 3 girls and at least 4 boys be selected?
In how many ways will a team of 5 people be selected out of 12 people such that a specific person will always be selected, and a specific person will al...
A person has 12 friends out of which 7 are relatives. In how many ways can he invite 6 friends such that at least 4 of them are relatives?
How many 5-digit even numbers can be formed using the digits 0 to 9 if no digit is repeated?
In how many different ways can 6 History and 5Hindi books be arranged in a shelf so that they are arranged alternately?
Geography books are never together.
In a group of 9 boys and 6 girls, 5 students have to be selected. In how many ways it can be done so that only 2 boys are included.
Among a set of 4 black balls and 3 white balls, how many selections of 3 balls can be made such that at least 2 of them are black balls?