मराठी

In how many ways can the letters of the word PERMUTATIONS be arranged if the words start with P and end with S.

Advertisements
Advertisements

प्रश्न

In how many ways can the letters of the word PERMUTATIONS be arranged if the words start with P and end with S.

बेरीज
Advertisements

उत्तर

The word PERMUTATIONS has a total 12 letters, in which T – 2, rest all are different.

The positions of P and S have been fixed.

Hence, in this case, required number of arrangements  

= `(10!)/(2!)` = 1814400.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Permutations and Combinations - EXERCISE 6.3 [पृष्ठ ११४]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
पाठ 6 Permutations and Combinations
EXERCISE 6.3 | Q 11. (i) | पृष्ठ ११४

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Evaluate 4! – 3!


Is 3! + 4! = 7!?


How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7, if no digit is repeated?


Find the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of these will be even?


In how many ways can the letters of the word PERMUTATIONS be arranged if the vowels are all together.


Which of the following are true:

(2 +3)! = 2! + 3!


Which of the following are true:

(2 × 3)! = 2! × 3!


A customer forgets a four-digits code for an Automatic Teller Machine (ATM) in a bank. However, he remembers that this code consists of digits 3, 5, 6 and 9. Find the largest possible number of trials necessary to obtain the correct code.


How many natural numbers less than 1000 can be formed from the digits 0, 1, 2, 3, 4, 5 when a digit may be repeated any number of times?


How many 5-digit telephone numbers can be constructed using the digits 0 to 9. If each number starts with 67 and no digit appears more than once?


Find the number of ways in which 8 distinct toys can be distributed among 5 childrens.


Three dice are rolled. Find the number of possible outcomes in which at least one die shows 5 ?


In how many ways 4 women draw water from 4 taps, if no tap remains unused?


Write the number of ways in which 7 men and 7 women can sit on a round table such that no two women sit together ?


Write the number of numbers that can be formed using all for digits 1, 2, 3, 4 ?


Number of all four digit numbers having different digits formed of the digits 1, 2, 3, 4 and 5 and divisible by 4 is


The number of ways in which 6 men can be arranged in a row so that three particular men are consecutive, is


The product of r consecutive positive integers is divisible by


Evaluate the following.

`(3! xx 0! + 0!)/(2!)`


Evaluate the following.

`((3!)! xx 2!)/(5!)`


The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for all n ∈ N is:


Suppose 8 people enter an event in a swimming meet. In how many ways could the gold, silver and bronze prizes be awarded?


Determine the number of permutations of the letters of the word SIMPLE if all are taken at a time?


A test consists of 10 multiple choice questions. In how many ways can the test be answered if question number n has n + 1 choices?


8 women and 6 men are standing in a line. How many arrangements are possible if any individual can stand in any position?


8 women and 6 men are standing in a line. In how many arrangements will all 6 men be standing next to one another?


Find the distinct permutations of the letters of the word MISSISSIPPI?


How many ways can the product a2 b3 c4 be expressed without exponents?


A coin is tossed 8 times, how many different sequences of heads and tails are possible?


How many strings are there using the letters of the word INTERMEDIATE, if all the vowels are together


How many strings are there using the letters of the word INTERMEDIATE, if no two vowels are together


Find the sum of all 4-digit numbers that can be formed using digits 1, 2, 3, 4, and 5 repetitions not allowed?


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


In how many ways can 5 children be arranged in a line such that two particular children of them are always together 


The number of permutations of n different objects, taken r at a line, when repetitions are allowed, is ______.


How many words (with or without dictionary meaning) can be made from the letters of the word MONDAY, assuming that no letter is repeated, if

C1 C2
(a) 4 letters are used at a time (i) 720
(b) All letters are used at a time (ii) 240
(c) All letters are used but the first is a vowel (iii) 360

If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed as in a dictionary, then the position of the word 'MOTHER' is ______.


Number of words from the letters of the words BHARAT in which B and H will never come together is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×