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The number of ways of selecting 4letters from the word 'POORNIMA' is a) 50 b) 70 c) 55 d) none of these?
Most Upvoted Answer
The number of ways of selecting 4letters from the word 'POORNIMA' is a...
Solution:
To solve this problem, we need to use the concept of permutation and combination. Let's break down the solution step by step:
Step 1: Find the total number of letters in the word 'POORNIMA.'
There are 8 letters in the word 'POORNIMA.'
Step 2: Find the number of ways of selecting 4 letters from the word 'POORNIMA.'
To find the number of ways of selecting 4 letters from the word 'POORNIMA,' we need to use the combination formula. The formula for selecting r objects from n objects is given by:
nCr = n! / r!(n-r)!
Where n is the total number of objects, r is the number of objects to be selected, and ! denotes factorial, i.e., the product of all positive integers up to that number.
Using this formula, we get:
8C4 = 8! / 4!(8-4)! = (8 x 7 x 6 x 5) / (4 x 3 x 2 x 1) = 70
Therefore, there are 70 ways of selecting 4 letters from the word 'POORNIMA.'
Step 3: Select the correct option.
The correct option is (b) 70.
Therefore, the answer is option (b) 70.
To solve this problem, we need to use the concept of permutation and combination. Let's break down the solution step by step:
Step 1: Find the total number of letters in the word 'POORNIMA.'
There are 8 letters in the word 'POORNIMA.'
Step 2: Find the number of ways of selecting 4 letters from the word 'POORNIMA.'
To find the number of ways of selecting 4 letters from the word 'POORNIMA,' we need to use the combination formula. The formula for selecting r objects from n objects is given by:
nCr = n! / r!(n-r)!
Where n is the total number of objects, r is the number of objects to be selected, and ! denotes factorial, i.e., the product of all positive integers up to that number.
Using this formula, we get:
8C4 = 8! / 4!(8-4)! = (8 x 7 x 6 x 5) / (4 x 3 x 2 x 1) = 70
Therefore, there are 70 ways of selecting 4 letters from the word 'POORNIMA.'
Step 3: Select the correct option.
The correct option is (b) 70.
Therefore, the answer is option (b) 70.
Community Answer
The number of ways of selecting 4letters from the word 'POORNIMA' is a...
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The number of ways of selecting 4letters from the word 'POORNIMA' is a) 50 b) 70 c) 55 d) none of these?
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The number of ways of selecting 4letters from the word 'POORNIMA' is a) 50 b) 70 c) 55 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 The number of ways of selecting 4letters from the word 'POORNIMA' is a) 50 b) 70 c) 55 d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of ways of selecting 4letters from the word 'POORNIMA' is a) 50 b) 70 c) 55 d) none of these?.
The number of ways of selecting 4letters from the word 'POORNIMA' is a) 50 b) 70 c) 55 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 The number of ways of selecting 4letters from the word 'POORNIMA' is a) 50 b) 70 c) 55 d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of ways of selecting 4letters from the word 'POORNIMA' is a) 50 b) 70 c) 55 d) none of these?.
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