Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let S denote the set of 4-digit numbers 
such that 
and P denote the set of 5 -digit numbers having product of its digits equal to 20. Then 
is equal to 
.
Text Solution
Verified by ExpertsThe correct answer is:
260
(260)
: Choose 4 distinct digits from 
and arrange in decreasing order. 
.
: 5-digit numbers with digit product 
. All digits 
(else product 
). Must include exactly one 5 , remaining 4 digits multiply to 4 .
Case 1: 
arrangements.
Case 2: 
arrangements.
. Hence 
.
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