Question

In how many ways could you choose two different letters from the letters c, o, u, n, t?

a. 60 ways
b. 20 ways
c. 120 ways
d. 10 ways

Answer 1

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Answer 2

Option D is correct.

Explanation:

Total number of letters = c , o , u , n , t

We have to find: Numbers of ways in which two letters can be choose.

Combination is used to find numbers of ways.

`^(n)\textrm{C}_(r)=(n!)/(r!*(n-r)!)`

Number of ways =
`^(5)\textrm{C}_(2)=(5!)/(2!*(5-2)!)`

`=(5!)/(2!*3!)=(5*4)/(2)=5*2=10`

Therefore, Option D is correct.