# If 1/6! + 1/7! = x/8!, find x

**Solution:**

It is given that 1/6! + 1/7! = x/8!

Using the definition of factorial,

1/6! + 1/(7 × 6!) = x/(8 × 7 × 6!)

Multiplying both sides by 6!,

1 + 1/7 = x/(8 × 7)

8/7 = x/(8× 7)

So, x = 64

NCERT Solutions Class 11 Maths Chapter 7 Exercise 7.2 Question 4

## If 1/6! + 1/7! = x/8!, find x

**Summary:**

If 1/6! + 1/7! = x/8!, then x = 64