Question

Calculate the permutations of 10 different things,taken all at a time,when 4 specified things never come together

Answer 1

Answer:

10! -7! × 4!

Explanation:

Given, for a value 'n' and 'x', then the number of permutation of 'n' distinct things wherein 'x' different things do not come together is given as:

Permutations = n! - (n - x + 1)! × x!

Here, the values are as follows:

n = 10

x = 4

Formula = 10! - (10 - 4 + 1)! × 4!

=> 10! - 7! × 4!

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