For the following exercises, compute the value of the expression. P(11,5)

For the following exercises, compute the value of the expression.

P(11,5)

Expert Solution

Consider the expression P(11, 5).

Use the formula for permutations of n distinct objects,

P(n, r) = n!/(n – r)! ...... (1)

Substitute n = 11 and r = 5 in formula (1) P(n, r) = n!/(n – r)! and simplify,

P(11, 5) = 11!/(11 – 5)!

= 11!/6!

= (11 × 10 × 9 × 8 × 7 × 6!)/6!

= 55,440

Therefore, the value of the given expression is P(11, 5) – 55,440.

Junaid answered 1 year ago

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