how many matrices of different orders are possible with elements comprising all prime numbers less than 30
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Given : matrices of different orders are possible with elements comprising all prime numbers less than 30
To Find : how many matrices of different orders are possible
Solution:
Prime numbers less than 30
2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29
= 10 Prime numbers
10 = 1 * 10
10 = 2 * 5
10 = 5 * 2
10 = 10 * 1
4 different orders matrices are possible with elements comprising all prime numbers less than 30
Each order matrix can be in 10! ways
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