Evaluating Factorials

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Question 21

Question:   Evaluate:
i) 7!

iii) 8! + 6!
iv) 9! - 7!



viii) L.C.M of [5!6!7!]

Answer:   















viii) L.C.M of [5!6!7!]
6! is a multiple of 5!
7! is a multiple of 6!
L.C.M. = 7!
= 5040

or




L.C.M = 2⁴.3².5.7. = 5040

Question 22

Question:   Prove that
i) (2n)! = [1.3.5.7...(2n - 1)]2ⁿ (n!)

Answer:   

Question 23

Question:   Compute

Answer:   

Question 24

Question:   If (n +1)! = 12(n-1)!, find n.

Answer:   

Question 25

Question:   When n = 8, r = 3, and when n = 8, r = 5, find the value of

Answer:    When n = 8, r = 3

When n = 8, r = 5