Find the average number of numbers formed by the numbers 1, 2, 3, 4 wi

1.	Find the average number of numbers formed by the numbers 1, 2, 3, 4 without using the number in the corner more than once.
Answer» ANSWER Step-by-step EXPLANATION: Given digits 1,2,3,4,3,2,1 We needed 7 digit NUMBER, which is same as filling 7 places in a ROW with the 7 digits 1,2,3,4,3,2,1 Odd places are to be filled by 1,3,5,7 digits. Odd digits are available 1,3,3,1 i.e. two is 1 ′ s and two. 3 ′ s. 4 odd digit can be arranged at 4 odd places in 2!2! 4 P 4 =6 ways. Now there are 3 even places. Required such number = 2! 3! Now using fundamental Law of multiplication. TOTAL number of ways are 6×3=18

Find the average number of numbers formed by the numbers 1, 2, 3, 4 without using the number in the corner more than once.

Answer»

ANSWER

Step-by-step EXPLANATION:

Given digits 1,2,3,4,3,2,1

We needed 7 digit NUMBER, which is same as filling 7 places in a ROW with the 7 digits 1,2,3,4,3,2,1

Odd places are to be filled by 1,3,5,7 digits.

Odd digits are available 1,3,3,1

i.e. two is 1

′

s and two. 3

′

4 odd digit can be arranged at 4 odd places in

2!2!

=6 ways.

Now there are 3 even places.

Required such number =

Now using fundamental Law of multiplication.

TOTAL number of ways are 6×3=18

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Find the average number of numbers formed by the numbers 1, 2, 3, 4 without using the number in the corner more than once.​

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Find the average number of numbers formed by the numbers 1, 2, 3, 4 without using the number in the corner more than once.