3. In how many ways can 5 different books be arranged on a shelf if: a. there are no restrictions c. books X and Y are never together b. books X and Y must be together

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3. In how many ways can 5 different books be arranged on a shelf if:
a. there are no restrictions
c. books X and Y are never together
b. books X and Y must be together
4. A group of 10 students sit randomly in a row of 10 chairs. In how many ways
can this be done if:
a. there are no restrictions
b. 3 students A, B, and C are always seated together.
5. Suppose you have 4 different colored flags. How many different signals could
you make using:
a. 2 flags only
c. 2 or 3 flags.
b. 3 flags only
ADVANCED
Answer the following problems.
1. Find the total number of permutations of all the letters of the word
a. SARJANA
c. MATEMATIKA
b. SATOALBERTUS
d. KOMPETENSI
2. Ami, Beni, Cori, Dani, and Eri went to Dempo concert. How many
arrangements were possible when they sit in five adjacent seats if
a. Eri insists of sitting next to Cory
b. Beni refuses to sit next to Dani
3. Twelve jewels of different color will be arranged to form a clock. Find the
number of possibilities.
Transcribed Image Text:3. In how many ways can 5 different books be arranged on a shelf if: a. there are no restrictions c. books X and Y are never together b. books X and Y must be together 4. A group of 10 students sit randomly in a row of 10 chairs. In how many ways can this be done if: a. there are no restrictions b. 3 students A, B, and C are always seated together. 5. Suppose you have 4 different colored flags. How many different signals could you make using: a. 2 flags only c. 2 or 3 flags. b. 3 flags only ADVANCED Answer the following problems. 1. Find the total number of permutations of all the letters of the word a. SARJANA c. MATEMATIKA b. SATOALBERTUS d. KOMPETENSI 2. Ami, Beni, Cori, Dani, and Eri went to Dempo concert. How many arrangements were possible when they sit in five adjacent seats if a. Eri insists of sitting next to Cory b. Beni refuses to sit next to Dani 3. Twelve jewels of different color will be arranged to form a clock. Find the number of possibilities.
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