Question

Find the number of different matrices prepared from 15 distinct elements.

Answer 1

Given :   15 distinct elements.

To find : number of different matrices prepared from 15 distinct elements.

Solution:

Any matrix is in the form of m * n

m = number of rows &

n = number of column

number of Elements = m * n

Here number of Elements = 15

15 = 1 * 15  , 3 * 5 , 5 * 3 , 15 * 1

Rows m      Columns n

1                  15

3                 5

5                 3

15                1

4 Matrices

Each matrix has 15 element which can be arranged in 15! Ways  if each elements has to be used

hence 4 * 15 !

4 * 15 !  different matrices prepared from 15 distinct elements.

Learn more:

3×3 कोटि के ऐसे आव्यूहों की कुल कितनी संख्या होगी जिनकी प्रत्येक प्रविष्टि 0 या 1 है

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