1. Ami, Beni, Cori, Dani, and Eri went to BTS concert. How many arrangements were possible wher they sit in five adjacent seats if a. Eri insists on sitting next to Cori? b. Beni refuses to sit next to Dani? 2. If you have a standard deck of cards in how many different ways can you deal out a. 5 cards b. 10 cards 5 red cards d. 4 queens C. 3. In how many ways can the letters in the word PARALLEL be aranged if no two L's are next another? Combination 4. A box contains 8 blue balls, 6 white balls, and 4 black balls. In how many ways can w balls such that a. they are blue? b. they are all white? c. they are all black? d. two are blue, one is white, and I is black? e. exactly 2 are black? f. exactly 1 is black? g. none is blue? 5. Larry, June, Rod, Lyn and Espie are members of a group from which a committe be chosen. How many committees can be formed if a. there is no restriction? b. Larry must be included? C. Jun is excluded? d. Larry is included and Jun is excluded? e. Larry and Jun are included?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Ami, Beni, Cori, Dani, and Eri went to BTS concert. How many arrangements were possible when
Solve the following Determine the number of permutations and combination of the following problem.
Yeachembnations of objects taken at a time is denoted by nCr.
1e nationon of objects chosen from a set of n objects is a subset of n objeocts. The number of
Prepars cleens
O Perform
Nizes core con
TEN
MATHEMATICS
mpetencie MELC)
he total number of Combinations of n objects takenr at a time is
Ware
n!
nCr=
(n-r)r!
1. Evaluating learning (Pagtataya ng aralin)
(SUBMIT YOUR ANSWER TO YOUR TEACHER WITH COMPLETE SOLUTICNOT
Permutation
they sit in five adjacent seats if
a. Eri insists on sitting next to Cori?
b. Beni refuses to sit next to Dani?
2. If you have a standard deck of cards in how many different ways can you deal out
5 cards
b.
a.
10 cards
5 red cards
d. 4 queens
C.
3. In how many ways can the letters in the word PARALLEL be arranged if no two L's are next to
another?
Combination
4. A box contains 8 blue balls, 6 white balls, and 4 black balls. In how many ways can we
balls such that
a. they are blue?
b. they are all white?
C. they are all black?
d. two are blue, one is white, and I is black?
e. exactly 2 are black?
f. exactly 1 is black?
g. none is blue?
5. Larry, June, Rod, Lyn and Espie are members of a group from which a committee
be chosen. How many committees can be formed if
a. there is no restriction?
b. Larry must be included?
C. Jun is excluded?
d. Larry is included and Jun is excluded?
e. Larry and Jun are included?
Transcribed Image Text:1. Ami, Beni, Cori, Dani, and Eri went to BTS concert. How many arrangements were possible when Solve the following Determine the number of permutations and combination of the following problem. Yeachembnations of objects taken at a time is denoted by nCr. 1e nationon of objects chosen from a set of n objects is a subset of n objeocts. The number of Prepars cleens O Perform Nizes core con TEN MATHEMATICS mpetencie MELC) he total number of Combinations of n objects takenr at a time is Ware n! nCr= (n-r)r! 1. Evaluating learning (Pagtataya ng aralin) (SUBMIT YOUR ANSWER TO YOUR TEACHER WITH COMPLETE SOLUTICNOT Permutation they sit in five adjacent seats if a. Eri insists on sitting next to Cori? b. Beni refuses to sit next to Dani? 2. If you have a standard deck of cards in how many different ways can you deal out 5 cards b. a. 10 cards 5 red cards d. 4 queens C. 3. In how many ways can the letters in the word PARALLEL be arranged if no two L's are next to another? Combination 4. A box contains 8 blue balls, 6 white balls, and 4 black balls. In how many ways can we balls such that a. they are blue? b. they are all white? C. they are all black? d. two are blue, one is white, and I is black? e. exactly 2 are black? f. exactly 1 is black? g. none is blue? 5. Larry, June, Rod, Lyn and Espie are members of a group from which a committee be chosen. How many committees can be formed if a. there is no restriction? b. Larry must be included? C. Jun is excluded? d. Larry is included and Jun is excluded? e. Larry and Jun are included?
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