class 11

Math

Algebra

Permutations and Combinations

If all the words (with or without meaning) having five letters, formed using the letters of the word SMALL and arranged as in a dictionary; then the position of the word SMALL is :

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If all the permutations of the letters in the word OBJECT are arranged (and numbered serially) in alphabetical order as in a dictionary, then the 717th word is a. TOJECB b. TOEJBC c. TOCJEB d. TOJCBE

Computer (i) $5!7! $ (ii) $(10!)(2!)12! $

The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order s in an English dictionary. The number of words that appear before the word COCHIN is a.$360$ b. $192$ c. $96$ d. $48$

If $8!1 +9!1 =10!x ,$find x

The number of three-digit numbers having only two consecutive digit identical $N,$ then the value of $(N/2)_{1/2}$ is _______.

A box contains 2 white balls, 3 black balls & 4 red balls. In how many ways can three balls be drawn from the box if atleast one black ball is to be included in draw (the balls of the same colour are different)

Number of shortest ways in which we can reach from the point (0, 0, 0) to point (3.7, 11) in space where the movement is possible only along the x-axis, y axis and z-axis or parallel to them and change of axes is permitted only at integral points (an integral point is one which has its coordinate as integer) is

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?