Table of Contents
- 1 How many 3-digit numbers can be formed from the digits 1 2 3 4 and 5 if the digits are unique?
- 2 How many even numbers of four digits formed with the digits 1 2 3 4 5 and 6 repetitions of digits are allowed )?
- 3 How many ways can a three-digit even number be formed?
- 4 How many ways can you choose the last digit of 3-digit numbers?
How many 3-digit numbers can be formed from the digits 1 2 3 4 and 5 if the digits are unique?
Since repetition of digits is not allowed we are left with 5 digits to fill up the Tens place. So Tens place can be filled up in 5 ways. Using the same argument we can fill up the Units digit in 4 ways. Hence we can form (6)(5)(4) = 120 numbers of three digits using the digits 1,2,3,4,5,6 without repetition.
How many even numbers of four digits formed with the digits 1 2 3 4 5 and 6 repetitions of digits are allowed )?
That exhausts the possibilities, so there are 120+300=420 even four digit numbers that can be formed using the digits 0,1,2,3,4,5,6.
How many 3 digit even number can be formed?
Thus, The total number of 3-digit even numbers that can be formed = 6×6×3 = 108.
How many even numbers of three digits can be made with the digits?
How many ways can a three-digit even number be formed?
A three-digit even number is to be formed from given 6 digits 1, 2, 3, 4, 6, 7 The number at one’s place can be filled by 2, 4, 6. Since repetition is not allowed Now, Tens place can be filled by the remaining 5 digits So, Tens place can be filled in 5 ways Similarly, Hundred place can be filled by the remaining 4 digits
How many ways can you choose the last digit of 3-digit numbers?
Want 3-digit even numbers, the digits are 1, 2, 3, 4 and 5, and repetitions are not allowed. So none of the numbers can end in 1, 3, or 5. So there are 3 ways to choose the last (rightmost) digit, 5 − 3 = 2 ways to choose the first (leftmost) digit, an 1 way to pick the middle digit.
What is the three digit even number with 6 digits?
Calculations: A three-digit even number is to be formed from given 6 digits 1, 2, 3, 4, 6, 7 The number at one’s place can be filled by 2, 4, 6. Start Learning English Hindi Quantitative AptitudePermutation and Combination
Why do we not use all the possible combinations of numbers?
Not using all digits allows more possibilities. (So if 2 is the last digit, and there is no 1 used, there are 3!=6, 3! for the swap = 12 more. 12 more for no 3, 12 more for no 5. If there is no 4 then just 6 ways, same 6 more if there is no 2. +48 more ways). Not using 2 digits is left to the reader.