मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

A test consists of 10 multiple choice questions. In how many ways can the test be answered if the first four questions have three choices and the remaining have five choices?

Advertisements
Advertisements

प्रश्न

A test consists of 10 multiple choice questions. In how many ways can the test be answered if the first four questions have three choices and the remaining have five choices?

बेरीज
Advertisements

उत्तर

The first four questions have 3 choices.

So they can be answered in 34 ways.

The remaining 6 questions have 5 choices.

So they can be answered in 56 ways.

So all 10 questions can be answered in 34 × 56 ways.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Combinatorics and Mathematical Induction - Exercise 4.2 [पृष्ठ १७८]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 4 Combinatorics and Mathematical Induction
Exercise 4.2 | Q 5. (ii) | पृष्ठ १७८

संबंधित प्रश्‍न

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


Find x in each of the following:

\[\frac{x}{10!} = \frac{1}{8!} + \frac{1}{9!}\]

Which of the following are true:

(2 × 3)! = 2! × 3!


How many natural numbers not exceeding 4321 can be formed with the digits 1, 2, 3 and 4, if the digits can repeat?


If three six faced die each marked with numbers 1 to 6 on six faces, are thrown find the total number of possible outcomes ?


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?


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 ?


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


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


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


Evaluate the following.

`(3! + 1!)/(2^2!)`


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:


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?


Choose the correct alternative:
If Pr stands for rPr then the sum of the series 1 + P1 + 2P2 + 3P3 + · · · + nPn is


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


If 1P1 + 2. 2p2 + 3. 3p3 + ....... 15. 15P15 = qPr – s, 0 ≤ s ≤ 1, then q+sCr–s is equal to ______.


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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×