MONTHLY EXAMINAT EXAMIN ATION ION Choose the letter that you think best answers the question 1. hat !o you "all the !i##erent !i##erent arran$e%ents o# the ob&e"ts o# a $rou'( A. sele"tion C. 'er%utation ). !i##erentiation *. "o%bination +. hi"h situation illustrates 'er%utation( A. #or%in$ a "o%%ittee o# "oun"ilors ). sele"tin$ 1, questions to answer out o# 1- questions questions in a test C. "hoosin$ + literature books to buy #ro% a ariety o# "hoi"es *. assi$nin$ roo%s to "on#eren"e 'arti"i'ants /. It is the sele"tion sele"tion o# ob&e"ts ob&e"ts #ro% a set. A. "o%bination ). !i##erentiation
C. 'er%utation *. !istin"tion
0. hi"h o# the #ollowin$ #ollowin$ situations illustrates "o%bination( A. arran$in$ books in a shel# ). !rawin$ na%es #ro% a bo "ontainin$ +,, na%es C. #or%in$ !i##erent nu%bers #ro% - $ien $ien !i$its *. #or%in$ 'late nu%bers o# ehi"les -. hi"h o# the the #ollowin$ situations !oes NOT illustrate illustrate "o%bination( A. sele"tin$ #ruits to %ake a sala! sala! ). assi$nin$ tele'hone nu%bers to ho%es C. "hoosin$ househol! "hores to !o a#ter "lasses "lasses *. sele"tin$ 'osters to han$ in the walls walls o# your roo% 2. hi"h o# the the #ollowin$ e'ressions e'ressions re'resents the nu%ber nu%ber o# !istin$uishab !istin$uishable le 'er%utations o# the letters o# the wor! CONCL34ION4( A. 115 115 ).
C.
11!
*.
8!
11! 2! 2! 2! 11! 2! 2! 2! 2!
6. A "ertain "ertain restaurant allows you to asse%ble asse%ble your own e$etable sala!. I# there are 7 kin!s o# e$etables e$etables aailable8 aailable8 how %any ariations ariations o# the sala! "an you %ake "ontainin$ at least - e$etables( A. -2 ). 70 C. 9/ *. 92 7. Cal"ulate P :1+8 :1+8 0;. A. 0, /+,
). 11 77,
C. 99,
*. 09-
9. How %any !i##erent /
A. 1,
). 9
C. 7
*. 6
11. I# P :98 r ; > -,08 what is r ( A. 6 ). 2
C. -
*. /
C. 1/
*. 10
1+. I# P :n8 0; > 16 12,8 then n > A. 9 ). 11
.
1/. I# x > P :68 0;8 y > P :78 0;8 an! z > P :98 /;8 arran$e x, y 8 an! z #ro% s%allest to $reatest. A. x, y, z ). z, x, y C. y, x, z *. x, z, y 7!
10. Cal"ulate
3 ! ∙ 2!
A. 0+, ). 70, C. 127, *. +-+, 1-. hi"h o# the #ollowin$ "an be a alue o# r in C :1-8 r ; > 1/2-( A. 2 ). C. 0 *. / 12. I# C :n8 -; > +-+8 then n = A. 6 ). 7
.
16. Cal"ulate? C :+,8 -; A. 270, ). 1- -,0
C. 9
*. 1,
C. 112 +7,
*. 1 72, 07,
17. Let a = C :68 0;8 b = C :68 -;8 c = C :68 2; an! d = C :68 6;. I# there are 6 'oints on the 'lane8 no three o# whi"h are "ollinear8 what re'resents the total nu%ber o# 'oly$ons that "an be #or%e! with at least - si!es( A. a + b C. a + b + c B. c + d *. b @ c + d 19. in! C :178 0;. A. +0,,
). /,2,
C. 0792
+,. Ealuate? C :+-8 0; @ C :/,8 /; @ C :/-8 +; A. 16 9,, ). 16 /,C. 12 61,
*. 6/ 00,
*. 02--
+1. In how %any !i##erent ways "an 6 'otte! 'lants be arran$e! in a row( A. -,0, ). +-+, C. 6+, *. +1, ++. In how %any !i##erent ways "an 1, !i##erent<"olore! horses be 'ositione! in a "arousel( A. -,0 ). 0,/+ C. /2+ 77, *. / 2+7 7,, +/. In how %any 'ossible ways "an Buan answer a 1,
Answer Key I. 1. C +. * /. A 0. ) -. ) 2. * 6. C 7. ) 9. * 1,. A
11. 1+. 1/. 10. 1-. 12. 16. 17. 19. +,.
* C ) A C * ) * ) )
+1. ++. +/. +0. +-. +2. +6. +7.
A C A * A C ) *
