the exponent of 15 in 100! is
a. 12
b. 24
c. 36
d. 48
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Answers
Answered by
2
Answer:
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Step-by-step explanation:
Correct option is
B
24
34≤100<35
Hence,
[3100]+[32100]+[33100]+[34100]
=33+11+3+1
=48 ...(i)
52≤100<53
Hence,
[5100]+[52100]
=20+4
=24 ...(ii)
Hence, 100! is exactly divisible by 348 and 524
Hence, the maximum power of 15 in 100! is 24.
Answered by
1
Answer:
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