How many words of 4 letters beginning with 'A | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The word '$EQUATOR$' consists of $7$ distinct letters: $E, Q, U, A, T, O, R$.We need to form a $4$-letter word starting with '$A$' or '$E$'.Step $

Vedclass · Accepted Answer

$240$

Vedclass · Answer

(C) The word '$EQUATOR$' consists of $7$ distinct letters: $E, Q, U, A, T, O, R$.We need to form a $4$-letter word starting with '$A$' or '$E$'.Step $1$: The first letter must be '$A$' or '$E$'. This can be done in $^2P_1 = 2$ ways.Step $2$: After fixing the first letter,we have $6$ remaining letters available from the word '$EQUATOR$'.Step $3$: We need to fill the remaining $3$ positions using the $6$ available letters. This can be done in $^6P_3$ ways.$^6P_3 = 6 	imes 5 	imes 4 = 120$ ways.Step $4$: The total number of words is the product of the ways to choose the first letter and the ways to fill the remaining positions.Total words $= 2 	imes 120 = 240$.

How many words of $4$ letters beginning with '$A$' or '$E$' can be formed with the letters of the word '$EQUATOR$'?

Similar Questions

How many even numbers of $3$ different digits can be formed from the digits $1, 2, 3, 4, 5, 6, 7, 8, 9$ (repetition is not allowed)?

If the best and the worst paper never appear together,then six examination papers can be arranged in how many ways?

If the four-letter words (need not be meaningful) are to be formed using the letters from the word "$MEDITERRANEAN$" such that the first letter is $R$ and the fourth letter is $E,$ then the total number of all such words is

How many $3$-digit numbers can be formed from the digits $2, 3, 5, 6, 7,$ and $9$ which are divisible by $5$,given that no digit is repeated?

For a scholarship,at most $n$ candidates out of $2n+1$ can be selected. If the number of different ways of selecting at least one candidate for the scholarship is $63$,then the maximum number of candidates that can be selected for the scholarship is -

Vedclass Test Series

Exam Paper Generator

Online Exam Module