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The no. of 6 digit nos that can be formed from the digits 1,2,3,4,5,6,&7 so that digits do not repeat and the terminal digits are even is (1) 144 (2) 72 (3) 288 (4) 720?
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The no. of 6 digit nos that can be formed from the digits 1,2,3,4,5,6,...
The first and the last (terminal) digits are even and there are three even digits. This arrangement can be done in 3P2 ways. For any one of these arrangements, two even digits are used; and the remaining digits are 5 (4 odd and 1 even) and the four digits in the six digits (leaving out the terminal digits) maybe arranged using these 5 digits in 5P4 ways.
The required number of numbers is 3P2 x 5P4 = 6 x 120 = 720.
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The no. of 6 digit nos that can be formed from the digits 1,2,3,4,5,6,...
The number of 6-digit numbers that can be formed from the digits 1, 2, 3, 4, 5, and 6 can be calculated using the principle of permutations.
Since we are forming a 6-digit number, we have 6 positions to fill. For the first position, we have 6 choices (any of the 6 digits can be used). For the second position, we have 5 choices (any of the remaining 5 digits can be used). Similarly, for the third position, we have 4 choices, for the fourth position, we have 3 choices, for the fifth position, we have 2 choices, and for the sixth position, we have 1 choice.
Therefore, the total number of 6-digit numbers that can be formed is:
6 x 5 x 4 x 3 x 2 x 1 = 720
So, there are 720 different 6-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6.
Since we are forming a 6-digit number, we have 6 positions to fill. For the first position, we have 6 choices (any of the 6 digits can be used). For the second position, we have 5 choices (any of the remaining 5 digits can be used). Similarly, for the third position, we have 4 choices, for the fourth position, we have 3 choices, for the fifth position, we have 2 choices, and for the sixth position, we have 1 choice.
Therefore, the total number of 6-digit numbers that can be formed is:
6 x 5 x 4 x 3 x 2 x 1 = 720
So, there are 720 different 6-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6.
Community Answer
The no. of 6 digit nos that can be formed from the digits 1,2,3,4,5,6,...
It's 720
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The no. of 6 digit nos that can be formed from the digits 1,2,3,4,5,6,&7 so that digits do not repeat and the terminal digits are even is (1) 144 (2) 72 (3) 288 (4) 720?
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The no. of 6 digit nos that can be formed from the digits 1,2,3,4,5,6,&7 so that digits do not repeat and the terminal digits are even is (1) 144 (2) 72 (3) 288 (4) 720? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The no. of 6 digit nos that can be formed from the digits 1,2,3,4,5,6,&7 so that digits do not repeat and the terminal digits are even is (1) 144 (2) 72 (3) 288 (4) 720? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The no. of 6 digit nos that can be formed from the digits 1,2,3,4,5,6,&7 so that digits do not repeat and the terminal digits are even is (1) 144 (2) 72 (3) 288 (4) 720?.
The no. of 6 digit nos that can be formed from the digits 1,2,3,4,5,6,&7 so that digits do not repeat and the terminal digits are even is (1) 144 (2) 72 (3) 288 (4) 720? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The no. of 6 digit nos that can be formed from the digits 1,2,3,4,5,6,&7 so that digits do not repeat and the terminal digits are even is (1) 144 (2) 72 (3) 288 (4) 720? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The no. of 6 digit nos that can be formed from the digits 1,2,3,4,5,6,&7 so that digits do not repeat and the terminal digits are even is (1) 144 (2) 72 (3) 288 (4) 720?.
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