Activity 3.
Find the number of permutations of the following words below. (Permutation with Repetition)
Given
Solution
Answer
2. EQUAL
3. PERMUTATION
4. CALCULUS
5. MISSISSIPPI
please answer this with solution​


Sagot :

Answer:

2. 150 permutations

3. 19,958,400 permutations

4. 20,160 permutations

5. 34,650 permutations

Step-by-step explanation:

Formula.

PR = n!/p!q!

where: n is the number of letters in a word

p, q are the repeated letters

2. PR = 5!

PR = 120

(since walang repeated letters, wala ring denominator)

3. PR = 11! / 2!

PR = 39,916,800 / 2

PR = 19,958,400

(may dalawang T, kaya may 2! as denominator)

4. PR = 8! / 2! 2! 2!

PR = 40,320 / (2×2×2)

PR = 40,320 / 8

PR = 20,160

(may tatlong 2! sa denominator dahil merong repeated letters, - 2 C, 2 L, 2 U )

5. PR = 11! / 4! 4! 2!

PR = 39,916800 / (24×24×2)

PR = 39,916,800 / 1,152

PR = 34,650

(may 11 letters sa word na MISSISSIPPI, at may 4 I, 4 S, at 2 P)