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Recent questions tagged goclasses-da-dpp-day-5

4 4 votes
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719
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GO Classes DPP | Permutation and Combination | Combinatory | University of California, Santa Barbara
How many $8-permutations$ are there of the $10$ $letters$ of the word $CALIFORNIA$ (with repeated letters)?A. $\frac{47}{4} \cdot 8$ !B. $\frac{47}{2} \cdot 8$ !C. $8!\cd...
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4 4 answers
581
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GO Classes DPP | Permutation and Combination | Combinatory | University of California, Santa Barbara
Is it $True$ or $False$, if $51$ integers are chosen from the set $S=\{1,2, \ldots, 100\}$, then there is always a pair of chosen integers which differ by $1$ . $True$$Fa...
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1 1 vote
2 2 answers
403
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GO Classes DPP | Permutation and Combination | Combinatory | University of California, Santa Barbara
A bakery sells exactly $5$ kinds of cookies including chocolate-chip cookies and shortbread cookies. Assuming that the bakery has at least $10$ cookies of each kind, how ...
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1 1 vote
5 5 answers
674
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GO Classes DPP | Permutation and Combination | Combinatory | University of California, Santa Barbara
Seven people, including two who do not want to sit next to each other, are to be seated at a round table. How many (circular) arrangements are there?
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2 2 answers
416
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GO Classes DPP | Permutation and Combination | Combinatory | University of California, Santa Barbara
How many ways are there to form a $3-letter$ word (i.e. sequence) containing the letter $C$ using the letters $A, B, C, D, E$ with repetitions of letters allowed?
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