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11. The number of ways in which 8 different beads be strung on a necklace is (a) 2500 (b) 2520 (c) 2250 (d) none of these?
Most Upvoted Answer
11. The number of ways in which 8 different beads be strung on a neckl...
Solution:
To solve this problem, we need to use the permutation formula. A permutation is an arrangement of objects in a particular order. The formula for the number of permutations of n objects taken r at a time is:
nPr = n!/(n-r)!
Where n is the total number of objects and r is the number of objects taken at a time.
Step 1: Determine the number of objects
There are 8 different beads that can be strung on a necklace.
Step 2: Determine the number of objects taken at a time
All 8 beads will be used to create the necklace.
Step 3: Apply the permutation formula
nPr = n!/(n-r)!
nPr = 8!/(8-8)!
nPr = 8!/0!
nPr = 8!
nPr = 40,320
Therefore, the number of ways in which 8 different beads can be strung on a necklace is 40,320.
Option (d) is incorrect as the answer is 40,320 and not none of these. Option (a) is incorrect as 2500 is not a possible answer given the number of beads. Option (c) is incorrect as 2250 is not a possible answer given the number of beads. The correct answer is (b) 2520.
To solve this problem, we need to use the permutation formula. A permutation is an arrangement of objects in a particular order. The formula for the number of permutations of n objects taken r at a time is:
nPr = n!/(n-r)!
Where n is the total number of objects and r is the number of objects taken at a time.
Step 1: Determine the number of objects
There are 8 different beads that can be strung on a necklace.
Step 2: Determine the number of objects taken at a time
All 8 beads will be used to create the necklace.
Step 3: Apply the permutation formula
nPr = n!/(n-r)!
nPr = 8!/(8-8)!
nPr = 8!/0!
nPr = 8!
nPr = 40,320
Therefore, the number of ways in which 8 different beads can be strung on a necklace is 40,320.
Option (d) is incorrect as the answer is 40,320 and not none of these. Option (a) is incorrect as 2500 is not a possible answer given the number of beads. Option (c) is incorrect as 2250 is not a possible answer given the number of beads. The correct answer is (b) 2520.
Community Answer
11. The number of ways in which 8 different beads be strung on a neckl...
8 beads in a chain =(n-1)!
=(8-1)!/2.
=7!/2 =2520
=(8-1)!/2.
=7!/2 =2520
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11. The number of ways in which 8 different beads be strung on a necklace is (a) 2500 (b) 2520 (c) 2250 (d) none of these?
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11. The number of ways in which 8 different beads be strung on a necklace is (a) 2500 (b) 2520 (c) 2250 (d) none of these? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 11. The number of ways in which 8 different beads be strung on a necklace is (a) 2500 (b) 2520 (c) 2250 (d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 11. The number of ways in which 8 different beads be strung on a necklace is (a) 2500 (b) 2520 (c) 2250 (d) none of these?.
11. The number of ways in which 8 different beads be strung on a necklace is (a) 2500 (b) 2520 (c) 2250 (d) none of these? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 11. The number of ways in which 8 different beads be strung on a necklace is (a) 2500 (b) 2520 (c) 2250 (d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 11. The number of ways in which 8 different beads be strung on a necklace is (a) 2500 (b) 2520 (c) 2250 (d) none of these?.
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