The total number of selections of the letters | vedclass

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

Question

(C) First,count the frequency of each letter in the phrase "ned needs nineteen nets":$n: 6$$e: 7$$d: 2$$s: 2$$t: 2$$i: 1$The number of ways to select

Vedclass · Accepted Answer

$3023$

Vedclass · Answer

(C) First,count the frequency of each letter in the phrase "ned needs nineteen nets":$n: 6$$e: 7$$d: 2$$s: 2$$t: 2$$i: 1$The number of ways to select letters is calculated by taking the product of (frequency + $1$) for each distinct letter and subtracting $1$ (to exclude the case where no letters are selected):Number of selections $= (6+1) 	imes (7+1) 	imes (2+1) 	imes (2+1) 	imes (2+1) 	imes (1+1) - 1$$= 7 	imes 8 	imes 3 	imes 3 	imes 3 	imes 2 - 1$$= 3024 - 1$$= 3023$

The total number of selections of the letters in the phrase "ned needs nineteen nets" is:

Similar Questions

Let $0 \leq r \leq n$. If ${ }^{n+1} C_{r+1} : { }^{n} C_{r} : { }^{n-1} C_{r-1} = 55 : 35 : 21$,then $2n + 5r$ is equal to:

The total number of natural numbers of six digits that can be made with digits $1, 2, 3, 4$,if all digits are to appear in the same number at least once,is

The total number of ways in which $5$ balls of different colours can be distributed among $3$ persons so that each person gets at least one ball is

The number of three-digit numbers in which $9$ appears in exactly one place is

The total number of $5$-digit numbers, formed by using the digits $1, 2, 3, 5, 6, 7$ without repetition, which are multiples of $6$, is

Vedclass Test Series

Exam Paper Generator

Online Exam Module