Permutation and Combination – Page 48

There-are-3-apartments-A-B-and-C-for-rent-in-a-building-Each-apartment-will-accept-either-3-or-4-occupants-The-number-of-ways-of-renting-the-apartments-to-10-students-

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Question Number 21766 by Tinkutara last updated on 03/Oct/17 $There are 3 apartments A, B and C for$ $rent in a building . Each apartment will$ $accept either 3 or 4 occupants . The$ $number of ways of renting the$ $apartments to 10 students$ Answered by mrW1 last updated…

Six-cards-and-six-envelopes-are-numbered-1-2-3-4-5-6-and-cards-are-to-be-placed-in-envelopes-so-that-each-envelope-contains-exactly-one-card-and-no-card-is-placed-in-the-envelope-bearing-the-same

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Question Number 21768 by Tinkutara last updated on 03/Oct/17 $Six cards and six envelopes are numbered$ $1, 2, 3, 4, 5, 6 and cards are to be placed$ $in envelopes so that each envelope$ $contains exactly one card and no card$ $is placed in the envelope bearing the$ $same number and moreover the card$ $numbered 1 is always placed in envelope$ $$\mathrm{numbered}\:\mathrm{2}.\:\mathrm{Then}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{ways} \…

There-are-m-points-on-the-line-AB-and-n-points-on-the-line-AC-excluding-the-point-A-Triangles-are-formed-joining-these-points-i-When-point-A-is-not-included-ii-When-point-A-is-included-The-rat

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Question Number 21760 by Tinkutara last updated on 03/Oct/17 $There are m points on the line A B and$ $n points on the line A C, excluding the$ $point A . Triangles are formed joining$ $these points$ $(i) When point A is not included,$ $(ii) When point A is included .$ $The ratio of the number of such triangles$ $$\mathrm{is} \…

How-many-six-digit-numbers-contain-exactly-four-different-digits-

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Question Number 21693 by Tinkutara last updated on 01/Oct/17 $H o w m a n y s i x - d i g i t n u m b e r s c o n t a i n$ $e x a c t l y f o u r d i f f e r e n t d i g i t s ?$ Commented by mrW1 last updated on 02/Oct/17 $9 numbers with exactly 1 distinct digits$ $$\mathrm{2511}\:\mathrm{numbers}\:\mathrm{with}\:\mathrm{exactly}\:\mathrm{2}\:\mathrm{distinct}\:\mathrm{digits} \…

I-have-6-friends-and-during-a-vacation-I-met-them-during-several-dinners-I-found-that-I-dined-with-all-the-6-exactly-on-1-day-with-every-5-of-them-on-2-days-with-every-4-of-them-on-3-days-with-eve

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Question Number 21686 by Tinkutara last updated on 30/Sep/17 $I have 6 friends and during a vacation$ $I met them during several dinners . I$ $found that I dined with all the 6 exactly$ $on 1 day; with every 5 of them on 2 days;$ $with every 4 of them on 3 days; with$ $every 3 of them on 4 days; with every 2$ $of them on 5 days . Further every friend$ $$\mathrm{was}\:\mathrm{present}\:\mathrm{at}\:\mathrm{7}\:\mathrm{dinners}\:\mathrm{and}\:\mathrm{every} \…

In-a-group-of-ten-persons-each-person-is-asked-to-write-the-sum-of-the-ages-of-all-the-other-9-persons-If-all-the-ten-sums-form-the-9-element-set-82-83-84-85-87-90-91-92-find-the-individual

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Question Number 21685 by Tinkutara last updated on 30/Sep/17 $In a group of ten persons, each person$ $is asked to write the sum of the ages of$ $all the other 9 persons . If all the ten$ $sums form the 9 - element set {82, 83, 84,$ $85, 87, 90, 91, 92} find the individual$ $ages of the persons (assuming them to$ $be whole numbers of years) .$ Terms…

Suppose-A-1-A-2-A-20-is-a-20-sided-regular-polygon-How-many-non-isosceles-scalene-triangles-can-be-formed-whose-vertices-are-among-the-vertices-of-the-polygon-but-whose-sides-are-not-the-side

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Question Number 21683 by Tinkutara last updated on 30/Sep/17 $Suppose A_{1} A_{2} \dots A_{20} is a 20 - sided regular$ $polygon . How many non - isosceles$ $(scalene) triangles can be formed whose$ $vertices are among the vertices of the$ $polygon but whose sides are not the$ $sides of the polygon ?$ …

How-many-four-digit-numbers-are-there-whose-decimal-notation-contains-not-more-than-two-distinct-digits-

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Question Number 21651 by Tinkutara last updated on 30/Sep/17 $H o w m a n y f o u r - d i g i t n u m b e r s a r e$ $t h e r e w h o s e d e c i m a l n o t a t i o n c o n t a i n s$ $n o t m o r e t h a n t w o d i s t i n c t d i g i t s ?$ Commented by mrW1 last updated on 01/Oct/17 $$\mathrm{576}\:? \…

if-in-the-expansion-of-1-x-n-the-coefficient-of-x-9-is-the-aritmetic-mean-of-the-coeficients-of-x-8-and-x-10-find-the-possible-value-of-n-where-n-is-a-positive-integer-

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Question Number 87175 by john santu last updated on 03/Apr/20 $if in the expansion of {(1 + x)}^{n} the$ $coefficient of x^{9} is the aritmetic$ $mean of the coeficients of x^{8} and$ $x^{10} . find the possible value$ $of n where n is a positive integer$ …

Prove-that-n-2-n-n-is-an-integer-n-N-

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Question Number 21598 by Tinkutara last updated on 29/Sep/17 $P r o v e t h a t \frac{n^{2}!}{{(n!)}^{n}} i s a n i n t e g e r, n \in N .$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Category: Permutation and Combination