Home
Class 11
MATHS
Is 3! + 4! = 7!?...

Is `3! + 4! = 7!`?

Text Solution

Verified by Experts

`lfloor3 = 3 xx 2 xx 1 = 6`
and `lfloor4 = 4 xx 3 xx 2 xx 1 = 24`
`:. Lfloor3 + lfloor4 = 5 +24 = 30`
`lfloor7 = 7 xx 6 xx 5 xx 4 xx 3 xx 2xx1 = 5040`
`:. Lfloor3 + lfloor4 ne lfloor7`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 3|11 Videos
  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 4|9 Videos
  • PERMUTATION AND COMBINATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 1|6 Videos
  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN ENGLISH|Exercise Misellaneous exercise|7 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 4.1|1 Videos

Similar Questions

Explore conceptually related problems

If tan theta=3/4 then find the value of cot theta 1. 4/3 2. 3/7 3. 4/7 4. 7/4

- 3 le 4 - (7x)/(2) le 10

The probability that a leap year will have 53 Fridays or 3 Saturday is a. 2/7 b. 3/7 c. 4/7 d. 1/7

Find the mode of the following data: (i) 3, 5, 7, 4, 5, 3, 5, 6, 8, 9, 5, 3, 5, 3, 6, 9, 7, 4 (ii) 3, 3, 7, 4, 5, 3, 5, 6, 8, 9, 5, 3, 5, 3, 6, 9, 7, 4 (iii) 15, 8, 26, 25, 24, 15, 18, 20, 24, 15, 19, 15

Write the negation of the following conjunction. 3 + 4=7 and 6 < 9.

Simplify: 4 2/3+\ 3 1/4+\ 7 1/2

The smallest of the fractions 2/3,4/7,8/(11) and 5/9 is (a) 2/3 (b) 4/7 (c) 8/(11) (d) 5/9

Find the sum of the following series to n term: 1. 2. 5+2. 3. 6+3. 4. 7+..........

Write as decimals . (a) 4/5 (b) 3/4 (c) 7/1000

Which ratio is greater ? (3 : 4) or (5 : 7)