Question

Determine the value of each expression below.

(a) 7!
(b) 0!
(c) 9C4
(d) 10 C3
(e) 9P2
(f) 12 P4

Answer 1

(a)
`7!=7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1=5040`

(b) 1

(c)
`(9!)/(5!4!)=(9 \cdot 8 \cdot 7 \cdot 6)/(4!)=(9 \cdot 8 \cdot 7 \cdot 6)/(24)=126`

(d)
`(10!)/(7!3!)=(10 \cdot 9 \cdot 8)/(3!)=(10 \cdot 9 \cdot 8)/(6)=120`

(e)
`(9!)/(7!)=9 \cdot 8=72`

(f)
`(12!)/(8!)=12 \cdot 11 \cdot 10 \cdot 9=19958400`