Question

Activity 5: TRY THIS.
1. Give the number of permutations that can be made from the letters in the word BLOWER if 3 letters are used at a time.
2. In how many ways can the letters in the word PALINDROME be arrange using
a. 3 letters at a time
b. 5 letters at a time
c. 6 letters at a time
d. all letters​

Answer 1

Step-by-step explanation:

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Answer 2

Given :   word BLOWER

To Find :  number of permutations that can be made from the letters in the word BLOWER if 3 letters are used at a time.

Solution :

BLOWER  has  6 letters

3 letters out of 6 can be selected in ⁶C₃   = 20 ways  

Now 3 letters can be arrange in 3!  = 6 ways

number of permutations that can be made from the letters in the word BLOWER if 3 letters are used at a time.  = 20 x 6  = 120

PALINDROME has 10 letters

3 letters at a time   = ¹⁰C₃ * 3!  = 720

5 letters at a time   = ¹⁰C₅ * 5!  = 30240

6 letters at a time   = ¹⁰C₆ *6!  =   1,51,200

all letters​  = 10 ! = 36,28,800

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