Advertisements
Advertisements
प्रश्न
How many two letter words can be formed using letters from the word SPACE, when repetition of letters is allowed?
Advertisements
उत्तर
Two-letter word is to be formed out of the letters of the word 'SPACE'.
Number of letters in the word 'SPACE' = n = 5
When repetition of the letters is allowed
First letter can be selected in 5 ways = `""^5"C"_1 = (5!)/(5!(5 - 1)!) = 5`
Second Letter can be selected in 5 ways (as repetition is allowed the letters selected before is also available) = `""^5"C"_1 = (5!)/(5!(5 - 1)!) = 5`
∴ By using the fundamental principle of multiplication,
The total number of 2-lettered words = 5 × 5 = 25.
APPEARS IN
संबंधित प्रश्न
How many two letter words can be formed using letters from the word SPACE, when repetition of letters is allowed?
How many three-digit numbers can be formed from the digits 0, 1, 3, 5, 6 if repetitions of digits are not allowed?
If numbers are formed using digits 2, 3, 4, 5, 6 without repetition, how many of them will exceed 400?
Select the correct answer from the given alternatives.
A college has 7 courses in the morning and 3 in the evening. The possible number of choices with the student if he wants to study one course in the morning and one in the evening is -
How many words can be formed by writing letters in the word CROWN in different order?
How many three-digit numbers are there with 3 in the unit place?
without repetition
How many numbers are there between 100 and 500 with the digits 0, 1, 2, 3, 4, 5? if the repetition of digits is not allowed
Count the numbers between 999 and 10000 subject to the condition that there are no restriction
Count the numbers between 999 and 10000 subject to the condition that there are no digit is repeated
To travel from a place A to place B, there are two different bus routes B1, B2, two different train routes T1, T2 and one air route A1. From place B to place C there is one bus route say B1, two different train routes say T1, T2 and one air route A1. Find the number of routes of commuting from place A to place C via place B without using similar mode of transportation
How many strings can be formed using the letters of the word LOTUS if the word either starts with L or ends with S?
In how many ways 10 pigeons can be placed in 3 different pigeon holes?
Find the value of 3! – 2!
Choose the correct alternative:
In an examination there are three multiple choice questions and each question has 5 choices. Number of ways in which a student can fail to get all answer correct i
Choose the correct alternative:
There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two points is
How many numbers are there between 99 and 1000 having atleast one of their digits 7?
If the letters of the word RACHIT are arranged in all possible ways as listed in dictionary. Then what is the rank of the word RACHIT?
The number of possible outcomes when a coin is tossed 6 times is ______.
If the number of five-digit numbers with distinct digits and 2 at the 10th place is 336 k, then k is equal to ______.
The number of all four digit numbers which begin with 4 and end with either zero or five is ______.
