Question
Six trophies out of which 3 are gold and the rest are
silver are to be placed in a line. Find the number of arrangements in which all three gold trophies are not placed together.Solution
Total number of ways of arrangement = 6! = 720 ways
If we consider 3 gold trophies as one item, number of arrangements among themselves = 3! = 6 ways
Number of arrangements of remaining 4 items = 4! = 24 ways
Therefore, required number of ways = 720 – (6 × 24) = 576 ways
When a number is divided by 17 remainder is 11. Find the remainder when five times of the same number is divided by 17.
The cost of 3 notebooks and 2 erasers is Rs.47, and the cost of 5 notebooks and 4 erasers is Rs.83. What is the total price (in Rs) of 2 notebooks and 3...
What is the greatest four-digit number that leaves remainders 1, 2 and 3 respectively when divided by 2, 3 and 4?
- Determine the value of 'n' if '87n9812' is always divisible by 9.
How many unique five-digit numbers can be created using the digits 0, 1, 5, 6, 7, and 8, without repeating any digit?
If z = 3 – 4i, find |z²|.
When N is divided by 5 the remainder is 2. What is the remainder, when n³ is divided by 5?
Find the unit digit of the expression: 1! + 4! + 6! + 9! + 25!.
A number is increased by 20% then reduced by 20%. If final value is 144, find original number.
If 'N' is the greatest four digit number which when divided by 27, 6, 8 and 9 Leaves in each case the same remainder of 5, then the sum of the digits of...
