Question

In how many ways does the letters of word SCIENCE can be arranged? ​

Answer 1

Answer

Letters = 7

C : 2

E : 2

7!/2!×2! = 1260

Thus, this can be arranged in = 1260 ways

Answer 2

Answer:

In 1260 ways the letters of the word SCIENCE can be arranged

Step-by-step explanation:

Given ,

The word SCIENCE

There are total 7 letters among which

C → 2

E → 2

Therefore , in 7!/2!×2! ways the letters can be arranged

7!/2!×2!

$\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 2 \times 1} \\ \\ = 7 \times 6 \times 5 \times 3 \times 2 \\ \\ = 7 \times 6 \times 5 \times 6 \\ \\ = 7 \times 6 \times 30 \\ \\ = 6 \times 210 \\ \\ = 1260$