Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationnPr & nCrMedium2 minQB

MathematicsMediuminteger

The exponent of 7 in $^{100} C_{50}$ is :

Answer:

Solution:

$^{100} C_{50} = \frac{100 !}{50 ! 50 !}$

Exponent of 7 in $100! = 16$

Exponent of 7 in $50! [\frac{50}{7}] + [\frac{50}{7 ^{2}}] = 8$

Exponent of 7 in $(50!)^{2} = 16$

∴ Exponent of 7 in $^{100} C_{50} = 16 - 16 = 0$

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:nPr & nCr

⏱ 2mℹ️ Source: QB

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