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Choose the correct alternative:If nPnnnPn(n+5)P(n+1)=(11(n-1)2)(n+3)Pn, then the value of n are

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प्रश्न

Choose the correct alternative:
If `""^(("n" + 5))"P"_(("n" + 1)) = ((11("n" - 1))/2)^(("n" + 3))"P"_"n"`, then the value of n are

पर्याय

  • 7 and 11

  • 6 and 7

  • 2 and 11

  • 2 and 6

MCQ
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उत्तर

6 and 7

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Combinatorics and Mathematical Induction - Exercise 4.5 [पृष्ठ १९७]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 4 Combinatorics and Mathematical Induction
Exercise 4.5 | Q 6 | पृष्ठ १९७

संबंधित प्रश्‍न

Evaluate 4! – 3!


Compute `(8!)/(6! xx 2!)`


Find x in each of the following:

\[\frac{1}{4!} + \frac{1}{5!} = \frac{x}{6!}\]

Find x in each of the following:

\[\frac{1}{6!} + \frac{1}{7!} = \frac{x}{8!}\]

In how many ways can 4 prizes be distributed among 5 students, when
(i) no student gets more than one prize?
(ii) a student may get any number of prizes?
(iii) no student gets all the prizes?


In how many ways can 4 letters be posted in 5 letter boxes?


Write the number of all possible words that can be formed using the letters of the word 'MATHEMATICS'.


The number of words that can be formed out of the letters of the word "ARTICLE" so that vowels occupy even places is


A 5-digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways in which this can be done is


The product of r consecutive positive integers is divisible by


The number of ways in which the letters of the word ARTICLE can be arranged so that even places are always occupied by consonants is


Find x if `1/(6!) + 1/(7!) = x/(8!)`


How many 6-digit telephone numbers can be constructed with the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 if each numbers starts with 35 and no digit appear more than once?


For all n > 0, nC1 + nC2 + nC3 + …… + nCn is equal to:


Each of the digits 1, 1, 2, 3, 3 and 4 is written on a separate card. The six cards are then laid out in a row to form a 6-digit number. How many of these 6-digit numbers are divisible by 4?


If the letters of the word GARDEN are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, then find the ranks of the words
DANGER


Ten different letters of alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have atleast one letter repeated is ______.


The number of three-digit even numbers, formed by the digits 0, 1, 3, 4, 6, 7 if the repetition of digits is not allowed, is ______.


8-digit numbers are formed using the digits 1, 1, 2, 2, 2, 3, 4, 4. The number of such numbers in which the odd digits do no occupy odd places is ______.


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