2005 - JAMB Mathematics Past Questions and Answers - page 5

(\frac{6!}{2!}=ways=\frac{6\times5\times4\times3\times2!}{2!}=6\times5\times4\times3=360\hspace{1mm}ways)

(n - 1)! = (7 - 1)!

= 6!

= 65432*1

= 720 ways

Blue balls = 5

Red balls = 3

White balls = 2

Total = 10

P(Two blue) = ⁵/₁₀ * ⁵/₁₀ = ²⁵/₁₀₀

P(Two Red) = ³/₁₀ * ³/₁₀ = ⁹/₁₀₀

∴P(Two blue or two red balls)

= ²⁵/₁₀₀ + ⁹/₁₀₀

= ³⁴/₁₀₀

= ¹⁷/₅₀

U = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

A = {x/x is divisible by 2}

A = {2,4,6,8,10,12,14,16,18,20}

B = {x/x is divisible by 3}

A ∩ B = {6, 12, 18}

P(Number divisible by both 2 and 3)

= 3/20

N (two games only) = 7 + 5 + 3 = 15

< OUT = < OTU

< OUT = (\frac{180^o - 70^o}{2} = \frac{110^o}{2} = 55^o)

< RUT = 180^o - 100^o = 80^o

< RUO = < RUT - < OUT

= 80^o - 55^o

= 25^o

The bearing of R from S = 180 + 44 = 224^o

Workers earning more than N700.00 = 4 + 6 + 2 = 12