I need help with question 1 part A BC and D please Perform t

Perform the indicated calculation. (2 pts each) 1. 6P4 10 3

Solution

1.₆P₄

_{we have to use the following formula}

_np_r =n!/(n-r)!

₆P₄=6!/(6-4)!=6!/2!= 360

b.₈C₅ we have to use the following formula

_nC_r= n!/(r!(n-r)!)

₈C₅= 8!/(5!(8-5)!) = 8!/(5!* 3!) =56

c. ₅P₄/₁₀P₃= 5!/(5-4)!/10!/(10-3)! = 120/720= 1/6

d. ₅C₂/₉C₃=5!/(2!(5-2)!)/9!/(3!(9-3)!) = 10/84 =5/42