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Standard XI

Mathematics

NCERT

Question

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

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Solution

Verified by Toppr

$3! = 1 \times 2 \times 3 = 6$ and $4! = 1 \times 2 \times 3 \times 4 = 24$
$\Rightarrow 3! + 4! = 6 + 24 = 30$
$7! = 1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 = 5040$
$∴ 4! + 3! \neq 7!$

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3! + 4! = 7!

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One fourth of a number 'x' is 3 more than 7 can be represented explain?
(a)m/4 + 7 =3
(b)m/4 +3 =7
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Question 22

Which of the following is an example of distributive property of multiplication over addition for rational numbers.
(a) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = [- \frac{1}{4} \times \frac{2}{3}] + [- \frac{1}{4} \times (\frac{- 4}{7})]$
(b) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = [\frac{1}{4} \times \frac{2}{3}] - (\frac{- 4}{7})$
(c) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = \frac{2}{3} + (- \frac{1}{4}) \times \frac{- 4}{7}$
(d) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = {\frac{2}{3} + (\frac{- 4}{7})} - \frac{1}{4}$

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7-4√3÷7+4√3

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Simplify:

\frac{7 - 4 \sqrt{3}}{7 + 4 \sqrt{3}}

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Is 3!+4!=7! ?

3!=1×2×3=6 and 4!=1×2×3×4=24⇒3!+4!=6+24=307!=1×2×3×4×5×6×7=5040∴4!+3!≠7!

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

$3! = 1 \times 2 \times 3 = 6$ and $4! = 1 \times 2 \times 3 \times 4 = 24$
$\Rightarrow 3! + 4! = 6 + 24 = 30$
$7! = 1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 = 5040$
$∴ 4! + 3! \neq 7!$