Question

many ways are there to select a vowel and a consonant from the word extinction​

Answer 1

Answer:

e,i and o

Step-by-step explanation:

_xt_nct_ _n

e i o

Answer 2

given a word EXTINCTION , find no. of ways to select a vowel and a consonant

Explanation:

1. no. of ways to select 'm' items from 'n' such items is given as,                                   $_{m}^{n}\textrm{C}= \frac{n!}{m!(n-m)!}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ,given\ n\geq m$            
2. let the no. of vowels in the word "EXCTINCTION" be 'v' and no. of consonants be 'c' considering the scenario to be without repetition , then we have   $v=3(e,i,o)\ \ \ \ c=4(x,t,n,c)$  
3. no. of ways to select a vowel = $_{1}^{3}\textrm{C}= \frac{3!}{1!(3-1)!} = 3$
4. no. of ways to select a consonant   =   $_{1}^{4}\textrm{C}= \frac{4!}{1!(4-1)!} = 4$