SATHEE: Permutations And Combinations Question 169

Permutations And Combinations Question 169

Question: The number of ways to fill each of the four cells of the table with a distinct natural number such that the sum of the numbers is 10 and the sums of the numbers placed diagonally are equal is

Options:

A) 4

B) 8

C) 24

D) 6

Show Answer

Answer:

Correct Answer: B

Solution:

[b] The natural number are 1, 2, 3, 4, clearly, in one diagonal we have to place 1, 4 and in the other 2, 3,. The number of ways in (i) is $ 2!\times 2!=4 $ The number of ways in (ii) is $ 2!\times 2!=4 $ . Therefore, the total number of ways is8.

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Permutations And Combinations Question 169

Question: The number of ways to fill each of the four cells of the table with a distinct natural number such that the sum of the numbers is 10 and the sums of the numbers placed diagonally are equal is

Options:

Answer:

Solution:

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