मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

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

प्रश्न

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

बेरीज
Advertisements

उत्तर

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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Combinatorics and Mathematical Induction - Exercise 4.2 [पृष्ठ १७७]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 4 Combinatorics and Mathematical Induction
Exercise 4.2 | Q 3. (i) | पृष्ठ १७७

संबंधित प्रश्‍न

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


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


Which of the following are true:

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


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?


There are 10 lamps in a hall. Each one of them can be switched on independently. Find the number of ways in which the hall can be illuminated ?


Evaluate each of the following:

8P3


Write the number of ways in which 6 men and 5 women can dine at a round table if no two women sit together ?


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


The number of words that can be made by re-arranging the letters of the word APURBA so that vowels and consonants are alternate is


Evaluate `("n"!)/("r"!("n" - "r")!)` when n = 5 and r = 2.


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


The number of permutation of n different things taken r at a time, when the repetition is allowed is:


8 women and 6 men are standing in a line. In how many arrangements will no two men be standing next to one another?


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


Find the sum of all 4-digit numbers that can be formed using digits 0, 2, 5, 7, 8 without repetition?


Suppose m men and n women are to be seated in a row so that no two women sit together. If m > n, show that the number of ways in which they can be seated is `(m!(m + 1)!)/((m - n + 1)1)`


There are 10 persons named P1, P2, P3, ... P10. Out of 10 persons, 5 persons are to be arranged in a line such that in each arrangement P1 must occur whereas P4 and P5 do not occur. Find the number of such possible arrangements.


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


Using the digits 1, 2, 3, 4, 5, 6, 7, a number of 4 different digits is formed. Find

C1 C2
(a) How many numbers are formed? (i) 840
(b) How many number are exactly divisible by 2? (i) 200
(c) How many numbers are exactly divisible by 25? (iii) 360
(d) How many of these are exactly divisible by 4? (iv) 40

The number of permutations by taking all letters and keeping the vowels of the word ‘COMBINE’ in the odd places is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×