How many permutations can be made of the letters of the word "radar" when taken all at a time?

Total number of permutations which can be made = 120

Step-by-step explanation:

The word is given to be : RADAR

Number of letters in the given word = 5

The letters are taken all at a time

⇒ Repetition of the letters are not allowed

Now, Number of possibilities for the first letter = 5

Number of possibilities for the second letter = 4

Number of possibilities for the third letter = 3

Number of possibilities for the forth letter = 2

Number of possibilities for the five letter = 1

Hence, Total number of permutations which can be made = 5 × 4 × 3 × 2 × 1  

= 120

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get