English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

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

Advertisements
Advertisements

Question

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

Sum

Solution

From 8 persons we have to select and arrange 3 which can be done in 8P3 ways
So the prizes can be awarded in 8P3 = 8 × 7 × 6 = 336 ways

shaalaa.com
  Is there an error in this question or solution?
Chapter 4: Combinatorics and Mathematical Induction - Exercise 4.2 [Page 177]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 4 Combinatorics and Mathematical Induction
Exercise 4.2 | Q 3. (i) | Page 177

RELATED QUESTIONS

Evaluate `(n!)/((n-r)!)`, when n = 9, r = 5


How many 4-digit numbers are there with no digit repeated?


Find x in each of the following:

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

In how many ways can three jobs I, II and III be assigned to three persons AB and C if one person is assigned only one job and all are capable of doing each job?


Find the total number of ways in which 20 balls can be put into 5 boxes so that first box contains just one ball ?


The number of five-digit telephone numbers having at least one of their digits repeated is


The number of six letter words that can be formed using the letters of the word "ASSIST" in which S's alternate with other letters is


If the letters of the word KRISNA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word KRISNA is


The product of r consecutive positive integers is divisible by


English alphabet has 11 symmetric letters that appear same when looked at in a mirror. These letters are A, H, I, M, O, T, U, V, W, X and Y. How many symmetric three letters passwords can be formed using these letters?


How many six-digit telephone numbers can be formed if the first two digits are 45 and no digit can appear more than once?


If (n+2)! = 60[(n–1)!], find n


The total number of 9 digit number which has all different digit is:


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


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?


Find the number of strings that can be made using all letters of the word THING. If these words are written as in a dictionary, what will be the 85th string?


If all permutations of the letters of the word AGAIN are arranged in the order as in a dictionary. What is the 49th word?


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


The number of different words that can be formed from the letters of the word INTERMEDIATE such that two vowels never come together is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×
Our website is made possible by ad-free subscriptions or displaying online advertisements to our visitors.
If you don't like ads you can support us by buying an ad-free subscription or please consider supporting us by disabling your ad blocker. Thank you.